{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b81ead65",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "from tqdm.notebook import tqdm\n",
    "import random\n",
    "from collections import Counter\n",
    "import joblib\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a193a903",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.utils import shuffle\n",
    "from sklearn import set_config, metrics\n",
    "from sklearn.metrics import r2_score, mean_absolute_error, mean_squared_error, ConfusionMatrixDisplay\n",
    "from sklearn.metrics import make_scorer, accuracy_score, precision_score, recall_score, f1_score, balanced_accuracy_score\n",
    "from sklearn.pipeline import make_pipeline\n",
    "from sklearn.svm import SVC, NuSVC, LinearSVC\n",
    "from sklearn.preprocessing import Normalizer, StandardScaler\n",
    "from sklearn.model_selection import cross_validate, cross_val_score, train_test_split, ShuffleSplit, LeaveOneGroupOut, GroupKFold, StratifiedGroupKFold"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "df6d688e-ce82-462e-bbd3-419f1f87da2c",
   "metadata": {},
   "outputs": [],
   "source": [
    "sns.set_context(\"talk\")\n",
    "sns.set_theme(style='white')\n",
    "sns.set_style(\"darkgrid\")\n",
    "sns.set_palette('bright')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b8a06bce",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_main_author = pd.read_csv(r'../data/ALL_canon_author_scale.csv')\n",
    "df_main_author.set_index(\"index\", inplace = True)\n",
    "df_main_author = df_main_author.replace(np.nan, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "accb9604",
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_df_with_authors(df):\n",
    "    df_res = df.copy()\n",
    "    list_author = []\n",
    "    for elem in df_res.index:\n",
    "        list_author.append(elem.split('_')[1])\n",
    "    print(len(set(list_author)))\n",
    "    df_res['auteur'] = list_author\n",
    "    return df_res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "811c956b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "714\n"
     ]
    }
   ],
   "source": [
    "df_main_author = get_df_with_authors(df_main_author)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "57a6ffa0",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_unibi_gram_author = df_main_author.iloc[:, 0:2000]\n",
    "df_unibi_gram_author['canon'] = df_main_author['canon']\n",
    "df_unibi_gram_author['auteur'] = df_main_author['auteur']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "3232ace3",
   "metadata": {},
   "outputs": [],
   "source": [
    "##def plot_coefficients(coefs, feature_names, top_features):\n",
    "#    top_positive_coefficients = np.argsort(coefs)[-top_features:]\n",
    "#    top_negative_coefficients = np.argsort(coefs)[:top_features]\n",
    "#    top_coefficients = np.hstack([top_negative_coefficients, top_positive_coefficients])\n",
    "#    # create plot\n",
    "#    plt.figure(figsize=(15, 5))\n",
    "#    colors = ['canon' if c < 0 else 'non_canon' for c in coefs[top_coefficients]]\n",
    "#    plt.bar(np.arange(2 * top_features), coefs[top_coefficients], color=colors)\n",
    "#    feature_names = np.array(feature_names)\n",
    "#    plt.xticks(np.arange(0, 2 * top_features), feature_names[top_coefficients], rotation=60, ha='right')\n",
    "#    plt.title(\"Best classification coefficients\")\n",
    "#    #plt.savefig('../img/coefs_linear_svm_canon_novels.png', format='png', bbox_inches='tight', dpi=400)\n",
    "#\n",
    "#    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "44e64dd4",
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_coefficients(coefs, feature_names, top_features):\n",
    "    top_positive_coefficients = np.argsort(coefs)[-top_features:]\n",
    "    top_negative_coefficients = np.argsort(coefs)[:top_features]\n",
    "    top_coefficients = np.hstack([top_negative_coefficients, top_positive_coefficients])\n",
    "\n",
    "    fig, ax = plt.subplots(figsize=(15, 5))\n",
    "\n",
    "    colors = ['canon' if c < 0 else 'non_canon' for c in coefs[top_coefficients]]\n",
    "    feature_names = np.array(feature_names)\n",
    "    zipped = list(zip(feature_names, coefs[top_coefficients], colors))\n",
    "    df_tmp = pd.DataFrame(zipped, columns=['features', 'coefs', 'colors'])\n",
    "    \n",
    "    sns.barplot(data=df_tmp, x='features', y='coefs', color=colors, ax=ax, hue='colors', palette=sns.color_palette())\n",
    "\n",
    "    ax.set_xlabel('Feature name', fontsize = 30)\n",
    "    ax.set_ylabel('Coefficient score', fontsize = 30)\n",
    "    \n",
    "    plt.xticks(np.arange(0, 2 * top_features), feature_names[top_coefficients], rotation=90, ha='right')\n",
    "    #plt.title(\"Best classification coefficients\")\n",
    "    plt.savefig('../img/coefs_linear_svm_canon_novels.png', format='png', bbox_inches='tight', dpi=400)\n",
    "\n",
    "    plt.show()\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "dd12fffd",
   "metadata": {},
   "outputs": [],
   "source": [
    "def GKF_canonized(df_main, n_splits=5, probas=False, kernel='rbf'):\n",
    "    \n",
    "    ALL_PREDS, ALL_GT = [], [] # lists of all predictions vs all ground truth data\n",
    "    ALL_PROBAS, ALL_INDEX = [], [] # lists of all test probas and all test index\n",
    "    \n",
    "    pipe = make_pipeline(StandardScaler(), SVC(class_weight=\"balanced\", probability=probas, kernel=kernel))#{\"canon\":10, \"non_canon\":1}\n",
    "    gkf = GroupKFold(n_splits)\n",
    "    \n",
    "    for (train_index, test_index) in gkf.split(df_main.drop(['auteur', 'canon'], axis=1), df_main['canon'], df_main['auteur']): \n",
    "            train = df_main.iloc[train_index]\n",
    "            test = df_main.iloc[test_index]\n",
    "\n",
    "            X_train = train.drop(['auteur', 'canon'], axis=1)\n",
    "            y_train = train['canon']\n",
    "            X_test = test.drop(['auteur', 'canon'], axis=1)\n",
    "            y_test = test['canon']\n",
    "            \n",
    "            pipe.fit(X_train, y_train)               \n",
    "            preds = pipe.predict(X_test)\n",
    "            \n",
    "            ALL_PREDS.extend(preds)\n",
    "            ALL_GT.extend(y_test)\n",
    "            ALL_INDEX.extend(X_test.index)\n",
    "                        \n",
    "            if probas==True:\n",
    "                probs = pipe.predict_proba(X_test)[:,0]\n",
    "                ALL_PROBAS.extend(probs)\n",
    "\n",
    "            \n",
    "    _ = ConfusionMatrixDisplay.from_predictions(ALL_GT, ALL_PREDS)\n",
    "\n",
    "    bas = balanced_accuracy_score(ALL_GT, ALL_PREDS)\n",
    "    report = metrics.classification_report(ALL_GT, ALL_PREDS, output_dict=True)# zero_division=1\n",
    "    df_scores = pd.DataFrame(report).transpose().drop(['macro avg', 'weighted avg'])\n",
    "    #print(df_scores)\n",
    "    print(bas)\n",
    "    \n",
    "    if kernel == 'linear':\n",
    "        coefs = pipe.named_steps['svc'].coef_\n",
    "        df_coefs = pd.DataFrame(coefs, columns=X_train.columns)\n",
    "        df_coefs.to_csv(\"../outputs/outputs_SVM_GFK/coefs_novel_scale.csv\")\n",
    "        plot_coefficients(*coefs, X_train.columns, 20)\n",
    "        return pipe, df_scores, bas, df_coefs\n",
    "    \n",
    "    if probas==True:\n",
    "        df_results = pd.DataFrame()\n",
    "        \n",
    "        df_results['metadata'] = ALL_GT\n",
    "        df_results['proba_canon'] = ALL_PROBAS\n",
    "        df_results['prediction']= ALL_PREDS\n",
    "        df_results['index']= ALL_INDEX\n",
    "        df_results['accord'] = [True if row['metadata'] == row['prediction'] else False for index, row in df_results.iterrows()]\n",
    "        \n",
    "        return pipe, df_scores, bas, df_results.set_index('index')\n",
    "\n",
    "    return pipe, df_scores, bas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "22c18d85",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.740695923146758\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pipe, df_scores, bas, df_results = GKF_canonized(df_unibi_gram_author, probas=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "0e7bf794",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>precision</th>\n",
       "      <th>recall</th>\n",
       "      <th>f1-score</th>\n",
       "      <th>support</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>canon</th>\n",
       "      <td>0.720952</td>\n",
       "      <td>0.645354</td>\n",
       "      <td>0.681062</td>\n",
       "      <td>1173.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>non_canon</th>\n",
       "      <td>0.782199</td>\n",
       "      <td>0.836038</td>\n",
       "      <td>0.808223</td>\n",
       "      <td>1787.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>accuracy</th>\n",
       "      <td>0.760473</td>\n",
       "      <td>0.760473</td>\n",
       "      <td>0.760473</td>\n",
       "      <td>0.760473</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           precision    recall  f1-score      support\n",
       "canon       0.720952  0.645354  0.681062  1173.000000\n",
       "non_canon   0.782199  0.836038  0.808223  1787.000000\n",
       "accuracy    0.760473  0.760473  0.760473     0.760473"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_scores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "d5a393b5",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_results.to_csv('../outputs/outputs_SVM_GFK/output_GKF_canonizer_author_scale.csv', index=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "d80122fb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.740695923146758"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "b446dcb1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>precision</th>\n",
       "      <th>recall</th>\n",
       "      <th>f1-score</th>\n",
       "      <th>support</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>canon</th>\n",
       "      <td>0.720952</td>\n",
       "      <td>0.645354</td>\n",
       "      <td>0.681062</td>\n",
       "      <td>1173.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>non_canon</th>\n",
       "      <td>0.782199</td>\n",
       "      <td>0.836038</td>\n",
       "      <td>0.808223</td>\n",
       "      <td>1787.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>accuracy</th>\n",
       "      <td>0.760473</td>\n",
       "      <td>0.760473</td>\n",
       "      <td>0.760473</td>\n",
       "      <td>0.760473</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           precision    recall  f1-score      support\n",
       "canon       0.720952  0.645354  0.681062  1173.000000\n",
       "non_canon   0.782199  0.836038  0.808223  1787.000000\n",
       "accuracy    0.760473  0.760473  0.760473     0.760473"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_final_scores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "c261d969",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\\begin{tabular}{lrrrr}\n",
      "\\toprule\n",
      "{} &  precision &  recall &  f1-score &  support \\\\\n",
      "\\midrule\n",
      "canon     &      0.721 &   0.645 &     0.681 & 1173.000 \\\\\n",
      "non\\_canon &      0.782 &   0.836 &     0.808 & 1787.000 \\\\\n",
      "accuracy  &      0.760 &   0.760 &     0.760 &    0.760 \\\\\n",
      "\\bottomrule\n",
      "\\end{tabular}\n",
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_5221/3649009022.py:1: FutureWarning: In future versions `DataFrame.to_latex` is expected to utilise the base implementation of `Styler.to_latex` for formatting and rendering. The arguments signature may therefore change. It is recommended instead to use `DataFrame.style.to_latex` which also contains additional functionality.\n",
      "  print(df_final_scores.to_latex(float_format=\"%.3f\"))\n"
     ]
    }
   ],
   "source": [
    "print(df_final_scores.to_latex(float_format=\"%.3f\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 154,
   "id": "052401a9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['pipes/pipeline_author_scale.pkl']"
      ]
     },
     "execution_count": 154,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "joblib.dump(pipe, 'pipes/pipeline_author_scale.pkl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "3753f2f0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6592523630215571\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pipe, df_scores, bas, df_coefs = GKF_canonized(df_unibi_gram_author, kernel='linear')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "9a7778ad",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_coefs.to_csv('../outputs/outputs_SVM_GFK/coefs_author_scale.csv', header=True, index=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dfaac00b",
   "metadata": {},
   "source": [
    "## NOVEL SCALE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "efcfdfa1",
   "metadata": {},
   "outputs": [],
   "source": [
    "def ratio_truncate(df, ratio_canon):\n",
    "    \n",
    "    df_res = shuffle(df)\n",
    "    ratio_temp = df_res.canon.value_counts(normalize=True).canon\n",
    "    index_noncanon = df_res[df_res['canon']  == 'non_canon'].index \n",
    "    i, j = 0, 20\n",
    "    \n",
    "    while ratio_temp < ratio_canon:\n",
    "        df_res.drop(index_noncanon[i:j], inplace = True)\n",
    "        i = j\n",
    "        j+=10\n",
    "        ratio_temp = df_res.canon.value_counts(normalize=True).canon\n",
    "\n",
    "    return shuffle(df_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "cb01e772",
   "metadata": {},
   "outputs": [],
   "source": [
    "def N_canonizer_sizeopti(df_main, N_fold=5, N_sample=10, ratio=0.5):\n",
    "    list_res, all_bas = [], []\n",
    "    for i in tqdm(range(N_sample)):\n",
    "        df_sizeopti_last = ratio_truncate(df_main, ratio)\n",
    "        pipe, results, bas = GKF_canonized(df_sizeopti_last, N_fold)\n",
    "        list_res.append(results)\n",
    "        all_bas.append(bas)\n",
    "    all_results = pd.concat(list_res).groupby(level=0).mean()\n",
    "    print(sum(all_bas)/len(all_bas))\n",
    "    return pipe, all_results, all_bas # return last pipe"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "02ca2c6d",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_main_novel = pd.read_csv(r'../data/ALL_canon_novel_scale.csv')\n",
    "df_main_novel.set_index(\"index\", inplace = True)\n",
    "df_main_novel = df_main_novel.replace(np.nan, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "3eaa7541",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "714\n"
     ]
    }
   ],
   "source": [
    "df_main_novel = get_df_with_authors(df_main_novel)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "9fa47992",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_unibi_gram_novel = df_main_novel.iloc[:, 0:2000]\n",
    "df_unibi_gram_novel['canon']=df_main_novel['canon']\n",
    "df_unibi_gram_novel['auteur'] = df_main_novel['auteur']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a2a9d61d",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "4b19433e",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_sizeopti_novel = ratio_truncate(df_unibi_gram_novel, 0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "eba86e05",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.7264254385964912\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pipe, df_scores, bas, df_results = GKF_canonized(df_sizeopti_novel, probas=True)"
   ]
  },
  {
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       "           precision    recall  f1-score    support\n",
       "canon       0.758364  0.666667  0.709565  306.00000\n",
       "non_canon   0.700880  0.786184  0.741085  304.00000\n",
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       "           precision    recall  f1-score  support\n",
       "canon       0.740876  0.663399  0.700000   306.00\n",
       "non_canon   0.684049  0.758503  0.719355   294.00\n",
       "accuracy    0.710000  0.710000  0.710000     0.71"
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   "execution_count": 33,
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       "      <th>1884_Gouraud-Julie_La-petite-maîtresse-de-maison</th>\n",
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       "      <td>non_canon</td>\n",
       "      <td>True</td>\n",
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       "      <th>1923_Radiguet-Raymond_Le-diable-au-corps</th>\n",
       "      <td>canon</td>\n",
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       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1832_Mere-Elisabeth-Brossin-de_Le-Parc-aux-Cerfs-ou-Histoire-secrete-des-jeunes-demoiselles-qui-y-ont-ete-renfermees_(tome-3)</th>\n",
       "      <td>non_canon</td>\n",
       "      <td>0.195296</td>\n",
       "      <td>non_canon</td>\n",
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       "      <td>canon</td>\n",
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       "      <th>1881_Cladel-Leon_Les-Va-Nu-Pieds</th>\n",
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       "      <td>canon</td>\n",
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       "<p>600 rows × 4 columns</p>\n",
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       "                                                     metadata  proba_canon  \\\n",
       "index                                                                        \n",
       "1884_Gouraud-Julie_La-petite-maîtresse-de-maison    non_canon     0.250677   \n",
       "1923_Radiguet-Raymond_Le-diable-au-corps                canon     0.429209   \n",
       "1832_Mere-Elisabeth-Brossin-de_Le-Parc-aux-Cerf...  non_canon     0.195296   \n",
       "1936_Aragon-Louis_Les-Beaux-Quartiers                   canon     0.901146   \n",
       "1842_Balzac-Honore-de_La-Femme-de-trente-ans            canon     0.131692   \n",
       "...                                                       ...          ...   \n",
       "2008_Enard-Mathias_Zone                                 canon     0.863711   \n",
       "1846_Sand-George_La-Mare-au-Diable                      canon     0.189735   \n",
       "1991_Combescot-Pierre_Les-filles-du-Calvaire            canon     0.818652   \n",
       "1973_Deon-Michel_Un-Taxi-mauve                          canon     0.779494   \n",
       "1881_Cladel-Leon_Les-Va-Nu-Pieds                    non_canon     0.620073   \n",
       "\n",
       "                                                   prediction  accord  \n",
       "index                                                                  \n",
       "1884_Gouraud-Julie_La-petite-maîtresse-de-maison    non_canon    True  \n",
       "1923_Radiguet-Raymond_Le-diable-au-corps            non_canon   False  \n",
       "1832_Mere-Elisabeth-Brossin-de_Le-Parc-aux-Cerf...  non_canon    True  \n",
       "1936_Aragon-Louis_Les-Beaux-Quartiers                   canon    True  \n",
       "1842_Balzac-Honore-de_La-Femme-de-trente-ans        non_canon   False  \n",
       "...                                                       ...     ...  \n",
       "2008_Enard-Mathias_Zone                                 canon    True  \n",
       "1846_Sand-George_La-Mare-au-Diable                  non_canon   False  \n",
       "1991_Combescot-Pierre_Les-filles-du-Calvaire            canon    True  \n",
       "1973_Deon-Michel_Un-Taxi-mauve                          canon    True  \n",
       "1881_Cladel-Leon_Les-Va-Nu-Pieds                        canon   False  \n",
       "\n",
       "[600 rows x 4 columns]"
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     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
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   "cell_type": "code",
   "execution_count": 34,
   "id": "e835bd7c",
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   "outputs": [],
   "source": [
    "df_results.to_csv('../outputs/outputs_SVM_GFK/output_GKF_canonizer_novel_scale.csv', index=True)"
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   "id": "ec588773",
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      "/home/crazyjeannot/anaconda3/lib/python3.9/site-packages/sklearn/metrics/_plot/confusion_matrix.py:136: RuntimeWarning: More than 20 figures have been opened. Figures created through the pyplot interface (`matplotlib.pyplot.figure`) are retained until explicitly closed and may consume too much memory. (To control this warning, see the rcParam `figure.max_open_warning`). Consider using `matplotlib.pyplot.close()`.\n",
      "  fig, ax = plt.subplots()\n"
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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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VbmcCk/I1XkiAvgK4E9hO0iUkS43+qIDzzMyyJ5JZHPm2gpqKmAa82cShnwMXsPlYfCJwUySmA/0ktXjrTSFrcdwiaQbJkqMCjo+I5wrrvplZBpXwIqCkicCSiHhW2iyXPQRYlPN6cVq2rLm2ClmwfziwDrgntywiXm3+LDOzDCssQA+U9FTO68kRMbmlEyT1Ar5Nkt7YaoXMg76X9x4e2wMYCcwHxhSjA2Zm7a3AHHNNRIxvZdM7kcTIhtHzUODpdGryEjZfS39oWtasQlIce+S+Tq88fr6Z6mZmVSsiZgPbNbyW9DIwPiJqJN0NfEHS74F9gdUR0Wx6Awq7SNi4A0+njZuZVabiTbO7leQBJrtIWizp9Baq/wV4CVhA8gCUvAPdQnLQX8152QnYC1ia7zwzs0yK4q3FEREn5zk+Imc/gHNb034hOeg+Ofu1JDnpO1rzJmZmmZKRW7nzaTFApzeo9ImIr7VTf8zMSkpkZ62NfFp65FWXiKiVdGB7dsjMrOQqPUADT5Dkm59Jrz7eDqxtOBgRU0rcNzOz4svQanX5FJKD7gGsIHkGYcN86AAcoM2sMlXIakItBejt0hkcc3gvMDeokL9/zMy21BFG0J2B3mwemBtUyMczM2tChUSwlgL0soj4Qbv1xMysPXSQp3pn45ECZmZF1hFSHEe0Wy/MzNpTpQfoiGhqEWozs4pXrFu9S62QaXZmZh1HB8lBm5l1OKJyLrA5QJtZ9fEI2swsmzrCLA4zs47JAdrMLIOKuGB/qTlAm1n18QjazCybnIM2M8sqB2gzs2zyCNrMLIuCilmwv1O5O2Bm1p4aHhqbbyuoLel6Scslzckp+6mk5yXNknSnpH45x74laYGk+ZKOzte+A7SZVZ8oYCvMDcAxjcoeAMZGxJ7AC8C3ACTtDpwEjEnPuUpS55Yad4A2s6qjiLxbISJiGvBmo7L7I6I2fTkdGJruTwR+HxEbI2IhsADYp6X2HaDNrLoUMnpO4vNASU/lbGe24d3+C7gv3R8CLMo5tjgta5YvEppZ1Skwx1wTEePb/B7Sd4Ba4Ja2tuEAbWZVp9S3eks6Ffh34IiId/MlS4BhOdWGpmXNcorDzKpP8S4SbkHSMcAFwH9ExLqcQ3cDJ0nqLmkkMAp4oqW2PII2s+rSiml0+Ui6FTiUJF+9GLiIZNZGd+ABSQDTI+LsiJgr6TZgHknq49yIqGupfQdoM6s+RQrQEXFyE8XXtVD/EuCSQtt3gDazqtJwo0olcIA2s6qj+sqI0A7QZlZd/FRvq0RDd9rAt69+5d3XOwx/h5t/ugPb9K1jwqdWsPrN5D+X3/7PYJ58+H3l6mbVW76kKz/90nBWvdEVFBz7mRWccEYN0+7py80/24FFL/bgir+8wOgPrgdg0zvilxcM5cVZvVAnOOcHS/jgAWvK/CnKy09UsYqz+F89+PxRuwDQqVNwy9Pz+Md9ffnISW9y5zWD+OPV25W5hwbQuUtw5oVLGbXnetat6cQXjhnNXoe8zYhdN3DhtS9zxTeGbVb/vlsGAPCbh+ezqqYL3/n0jvzqvhfoVM2TbCtkBF3NP5G1YNzBa1j2SjeWL+lW7q5YIwO2r2XUnsnouFfveobtvJGaZV0ZPmojw3beuEX9V1/ozriDkhFzv4G19O5bxwvP9mrXPmdNsVazKzUHaGvSoRNX8siftn339XGn1TDpwfl89fJX6d23toUzrT29tqgb/5rTk133WtdsnR3HbGD6/X2pq4XXXu3Gi7N68cbSru3Yy4wJICL/lgElC9CSRkh6TtI1kuZKul9ST0njJE3PWSt127T+I5IulfSEpBckHdxC250lXSZpTtrOF9PyCyU9mZZPVjpLvLm2JfWQ9FtJsyXNlHRYWn6qpCmS/irpRUk/aaYfZzYspLKJLUculapL13r2+8hbTLunLwB/vnEAp+2/G58/ajRvvt6VMy9aWuYeGsD6tZ344RkjOPsHS9imT/NJ1aNPWsHAwe/whWN2YdKFQ9h9/Fo6V/nQTPX5tywo9c80Cvh1RIwBVgEfA24CvpGulTqb5M6bBl0iYh/gy43KGzsTGAGMS9tpWIzkyojYOyLGAj1J7oVvqe1zgYiIPYCTgRsl9UiPjQM+CewBfFLS5om95MTJETE+IsZ3pXuer6Jy7H342yyY3ZNVNckoa1VNV+rrRYS475YB7DJufZl7aLWb4IdnjODw/1zJQceubrFu5y5w9veXMunB+Xz/hoWsWd2ZITttaKeeZk8xF+wvtVIH6IUR8Uy6PwPYCegXEY+mZTcCh+TUn5JTd0QL7R4J/KZhzdWIaFiP9TBJj0uaDRxOsjB2S20fBPwubeN54BVgdHrsoYhYHREbSG7N/EC+D9tRHHr8qs3SG/232/Tu/gETVvPy/B5NnWbtJAIuP384w0Zt5GNnvZG3/oZ1YsO65H/1GY/2pnOX4AOjO86/+FqtkPRGRlIcpZ7FkftfQR3Qr8D6dbSyb+nI9ypgfEQsknQxkBtJWtt2475XxYyX7j3r2Ovgt/nlBUPfLTv9u8vYacx6IuD1xd24IueYtb+5T2zDQ3/sz8jd1nPOkcmsm9O+tZRN73Tiqu8OYfWKLnzvszuy05j1/OjWl1i1oivfOXlH1AkG7LCJC371Sp536PiyMkLOp72DzmpgpaSDI+Ix4LPAo3nOacoDwFmS/hYRtZL6895jIGsk9QZOBP6Yp53HgE8DD0saDQwH5gN7taFPHcLG9Z35+Nixm5X99LzhZeqNNWXsvmuZuvSZJo8dOGHLdMcOw97hur8/X+JeVRgH6GadAlwtqRfwEnBaG9q4liQVMUvSJuCaiLhS0jXAHOA14MkC2rkKmJSmRGqBUyNiY3pt0cw6qEoZQSsykmupdO9T/9hXR5S7G9YKzY1CLbs6D14wY2uecgLQp+/Q2OvA8/LWm3bfN7b6vbZWVeRVzcxyVcoIOtMBWtLRwKWNihdGxAnl6I+ZdRAVkjnIdICOiKnA1HL3w8w6Fo+gzcyyyMuNmpllkwDVVUaEdoA2s6oj56DNzDKoglIcVb6mlZlVn+KtxSHpeknLJc3JKesv6YF0JcwHclbslKQrJC1IV+HMe8eyA7SZVZ0irmZ3A3BMo7Jvkiy2Ngp4KH0NMIFkhc9RJCtyTsrXuAO0mVWfIo2gI2Ia8Gaj4okkK3WS/nl8TvlNkZgO9JM0uKX2nYM2s+oSBc/iGCjpqZzXkyNicgHnbR8Ry9L914Dt0/0hwKKceovTsmU0wwHazKpPYQPkmq1diyMiQmr7bTFOcZhZ1VFE3m0rvN6Qukj/XJ6WLwFyn8w0NC1rlgO0mVWf0j5R5W6SZZVJ/7wrp/xz6WyO/YDVOamQJjnFYWbVJXjv8R5bSdKtwKEk+erFJM87/TFwm6TTSR6j94m0+l+AY4EFwDoKWAvfAdrMqorY6hTGuyLi5GYObbE4fCSL75/bmvYdoM2s+tQXaQhdYg7QZlZdipjiKDUHaDOrOl4sycwsqxygzcyyaKun0bUbB2gzqy4BeMF+M7Nscg7azCyrHKDNzDIogHoHaDOzDPJFQjOz7HKANjPLoADqKuNWQgdoM6syAeEAbWaWTU5xmJllkGdxmJllmEfQZmYZ5QBtZpZBEVBXV+5eFMQB2syqj0fQZmYZ5QBtZpZFUTGzODqVuwNmZu0qIKI+71YISV+RNFfSHEm3SuohaaSkxyUtkPQHSd3a2lUHaDOrPnX1+bc8JA0BzgPGR8RYoDNwEnAp8POI2BlYCZze1m46QJtZdYmA+vr8W2G6AD0ldQF6AcuAw4E/psdvBI5va1cdoM2s+kTk32CgpKdytjM3byKWAJcBr5IE5tXADGBVRNSm1RYDQ9raTV8kNLOqE4WNkGsiYnxzByVtC0wERgKrgNuBY4rRvwYO0GZWZYq2YP+RwMKIeANA0hTgQKCfpC7pKHoosKStb+AUh5lVl4bFkvJt+b0K7CeplyQBRwDzgL8BJ6Z1TgHuamtXHaDNrKoEEHV1ebe87UQ8TnIx8GlgNkk8nQx8A/iqpAXAAOC6tvbVKQ4zqy5RvAX7I+Ii4KJGxS8B+xSjfQdoM6s6USF3EjpAm1n1qZBHXikqZNGQrJP0BvBKuftRIgOBmnJ3wgrWkX+vD0TEoK1pQNJfSb6jfGoioqjT5lrLAdrykvRUS/NBLVv8e3UcnsVhZpZRDtBmZhnlAG2FmFzuDlir+PfqIJyDNjPLKI+gzcwyygHazCyjHKDNzDLKAdrMLKMcoKuIpM9JmiXpWUk3SzoufbjlTEkPSto+rXexpOslPSLpJUnn5bTx1fQBmXMkfTktGyHpOUnXpA/QvF9SzzJ9zMxq7nuSNE7S9PS3uTNdCJ70+79U0hOSXpB0cAttd5Z0Wfq7zJL0xbT8QklPpuWT02Uxm207fejpbyXNTv+7OCwtP1XSFEl/lfSipJ+U/hszIsJbFWzAGOAFYGD6uj+wLe/N5DkD+Fm6fzHwf0B3kltiVwBdgQ+TLKu4DdAbmAt8CBgB1ALj0vNvAz5T7s+cta257wmYBfxbWvYD4Bfp/iM5v8mxwIMttH0OydKXXRp+39w/0/2bgeNaahs4H7g+3d+VZM3jHsCpJKu09U1fvwIMK/d32tE3j6Crx+HA7RFRAxARb5I87WGqpNnA10mCeIN7I2JjWn85sD1wEHBnRKyNiDXAFKBhVLcwIp5J92eQBCPbUuPvaSegX0Q8mpbdCBySU39KTt0RLbR7JPCbSJ+Fl/6+AIel/0qaTfLfQO5v3FTbBwG/S9t4niQQj06PPRQRqyNiA8nC9B/I92Ft6zhAV7dfAVdGxB7AWSQjowYbc/bryL/yYWvrV6vG31O/Auu3+juV1AO4Cjgx/Y2voenfuNC2/Ru3Mwfo6vEw8HFJAwAk9Sf552rD89JOKaCNx4Dj00f8bAOckJZZ260GVubklz8LPNpC/eY8AJwlqQu8+/s2BOMaSb157zFMLXkM+HTaxmhgODC/Df2xIvDfgFUiIuZKugR4VFIdMJMk13y7pJUkAXxknjaelnQD8ERadG1EzJQ0omQdrw6nAFdL6kWS5z2tDW1cS5KKmCVpE3BNRFwp6RpgDvAa8GQB7VwFTEpTIrXAqRGxMb22aO3Mt3qbmWWUUxxmZhnlFIdZBZF0NHBpo+KFEXFCOfpjpeUUh5lZRjnFYWaWUQ7QZmYZ5QBt7UZSnaRn0nUhbk+nlbW1rRsknZjuXytp9xbqHirpgDa8x8uStnj6c3PljeqsaeV7XSzpa63to3VsDtDWntZHxLiIGAu8A5yde7DhJovWiogzImJeC1UOBVodoM3KzQHayuUxYOd0dPuYpLuBeemqbD9NV2CbJeksACWulDRf0oPAdg0NpSuzjU/3j5H0tJIV+x5Kb6I5G/hKOno/WNIgSXek7/GkpAPTcwekK8zNlXQtkPfuDEl/kjQjPefMRsd+npY/JGlQWrZTuiLcjPRz71qUb9M6JE+zs3aXjpQnAH9Ni/YCxkbEwjTIrY6IvSV1B/4h6X6SVfN2AXYnWbhpHnB9o3YHkaw3cUjaVv+IeFPS1cCaiLgsrfe/wM8j4u+ShgNTgd2Ai4C/R8QPJH0UOL2Aj/Nf6Xv0BJ6UdEdErCBZ8e+piPiKpAvTtr9A8kDXsyPiRUn7kty5d3gbvkarAg7Q1p56Snom3X8MuI4k9fBERCxMyz8C7NmQXyZZL2QUyQpvt0ZEHbBU0sNNtL8fMK2hrZwV3Ro7Etg95/bl96VrVRwC/Gd67r3pLfD5nCepYQ7ysLSvK4B64A9p+e+AKel7HEBye33D+d0LeA+rUg7Q1p7WR8S43II0UK3NLQK+GBFTG9U7toj96ATsly6b2bgvBZN0KEmw3z8i1kl6hM1Xi8sV6fuuavwdmDXHOWjLmqnAOZK6QrKiWrpy3jTgk2mOejBwWBPnTgcOkTQyPbd/Wv420Cen3v3AFxteSBqX7k4DPpWWTSB5oEFL+gIr0+C8K8kIvkEn3ls97lMkqZO3gIWSPp6+hyR9MM97WBVzgLasuZYkv/y0pDnAb0j+pXcn8GJ67Cbgn41PjIg3gDNJ0gnP8l6K4R7ghIaLhMB5wPj0IuQ83ptN8n2SAD+XJNXxap6+/hXoIuk54Mckf0E0WAvsk36Gw0melALJUp6np/2bC0ws4DuxKuVbvc3MMsojaDOzjHKANjPLKAdoM7OMcoA2M8soB2gzs4xygDYzyygHaDOzjPp/dWHQkLHF1G4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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M+T8DflZq/SU98srMrE2p9aneZmZtlWpkwX4HaDPLnxrpQZfyRBVJ+qqk89LXAyQ1O/vFzCyrShkDnZXV7kqZqHIFsDfQkAx/D/htxVpkZlZpNfLIq1JSHHtGxG6SpgBExGJJm1S4XWZmlZORHnIxpQTolZLak34kSX2omWfimpmtKyspjGJKSXH8Brgb2FLSz0iWGv15RVtlZlYpkYziKLZlQSlrcdwiaRLJkqMCjoqIWRVvmZlZpdRID7qUBfsHAMuAPxeWRcTrlWyYmVnFtJUADdzHmofHbgoMAmaTPBXAzKzm1EoOupQUx86Fr9NV7v6zidPNzKxMWjyTMCImS9qzEo0xM2sVbaUHLek7BS/bAbsBcyvWIjOzSorsjNIoppQedNeC/VUkOemxlWmOmVkraAs96HSCSteIOKeV2mNmVlGiDdwklNQhIlZJ2rc1G2RmVnG1HqBJnpW1GzBV0r3AHcDShoMRcVeF22ZmVn4ZWq2umFJy0JsCC0meQdgwHjoAB2gzq01t4CbhlukIjumsCcwNauT3j5nZutpCD7o9sDlrB+YGNfLxzMzWo0YiWHMBel5EXNhqLTEzaw1lfKq3pOuBzwILImJYWvZL4EjgQ+Bl4JSI+JekgcAskqUyAJ6MiNHN1d/ccqPZeKSAmVmZlfGRVzcChzUqexgYFhG7AC8A5xYcezkihqdbs8EZmg/QI0tuoplZLYkStlKqiXgMWNSo7KGIWJW+fBLYZkOb2WSAjohFTR0zM6tlJS7Y31vSxIJt1AZc6mvAAwWvB0maImmCpP2KvbnFiyWZmdW00nvIdRExYkMvI+lHJMtj3JIWzQMGRMRCSbsD90gaGhHvNlVHKY+8MjNrM1TitlHXkE4muXl4fEQEQESsiIiF6f4kkhuIQ5qrxz1oM8ufCg6zk3QY8D3ggIhYVlDeB1gUEfWSPg4MBuY0V5cDtJnlTrkmqki6FTiQJF/9JnA+yaiNTsDDkmDNcLr9gQslrSSZyzi62L0+B2gzy58yBeiIOG49xdc1ce5YWrhUswO0meVLG1uw38ysbWkDU73NzNqktrBYkplZ2+QAbWaWTe5Bm5llUdAmFuw3M2tz2sRDY83M2iwHaDOzbFLURoR2gDazfCnjE1UqzQHazHLHOWgzs4zyVG8zs6xyD9rMLINa9lDYqnKANrP8cYA2M8seT1QxM8swra6NCO0AbWb5UkPjoP1Ub1vLmKdmctX42Vzx8Gwue+CFtY594bQFjJv7LN16rapS6wxgwVsd+e4x2/GNA3bgGwduz93X9l7r+J1X9eHQ/sNZsrA9ABFwxY+35uR9dmT0yO15cVrnajQ7U7S6+JYF7kHbOr73xe14d9Ha/2n06f8hux3wHm+/2bFKrbIG7TsEo86by+BdlrPs/XaccdgQdtv/PT42ZAUL3urI5Ald2XLrDz86/5m/duWtVzpxw99n8fzkLlx27jb85r4Xq/gJMsA9aGtLTrtgLtf9T39qZAmDNm2LvqsYvMtyALpsvpptP7GCunnJL87fXbA1p/54LsnDpBP/HNedQ45ZhAQ77r6MpUvas/DtfPfNFMW3kuqRrpe0QNL0grJekh6W9GL6b8+0XJJ+I+klSdMk7VasfgdoW1uIn986h8sffIHDj18IwN6HLqFufkfmzPSfxlkz/41NeHl6Z3bYbRn/eLAbvbdayXZDP1jrnLr5HenTf+VHr3v3X8nC+Tn+SyhI8j7FttLcCBzWqOwHwPiIGAyMT18DHA4MTrdRwJXFKq9YgJY0UNIsSddImiHpIUmdJQ2X9GT6G+Tugt8uj0q6WNLTkl6QtF8zdbeXdImk6Wk9Z6bl50l6Ji2/Wkr6EU3VLWlTSTdIek7SFEkHpeUnS7pL0oPpb8FfNNGOUZImSpq4khXl/hFWxXeO+gRnHDqEHx0/iP84uY5he77Pl89cwE2/3KraTbNGli9tx0+/PpDRF75F+/bBbZf15cTvzqt2s2pCuXLQEfEYsKhR8eeAMen+GOCogvKbIvEk0ENSv+bqr3QPejDw24gYCvwL+AJwE/D9iNgFeA44v+D8DhGxB/DtRuWNjQIGAsPTem5Jyy+PiE9FxDCgM/DZInWfDkRE7AwcB4yRtGl6bDhwLLAzcKykbRs3IiKujogRETGiI52K/ChqQ0PPasnCjvz9we7ssvdSthrwIVc+MpsxT82kT7+V/HbcC/Tss7JITVZJq1bCT78+kIM/v5hPH7GEea91Yv7rm/DNQ3bgxD124p15HTn90O1ZtKADvbdayTtz1/SY6+Z2ZIut8vv9NYyDLiHF0buhA5Zuo0q8RN+IaPhNOR/om+5vDbxRcN6baVmTKp2IeiUipqb7k4DtgB4RMSEtGwPcUXD+XQXnDmym3kOAqyJiFUBENPwGO0jS94AuQC9gBvDnZur+NHBZWsfzkl4DhqTHxkfEEgBJM4GPsfYPt83p1Lmedu1g+dL2dOpcz+4HvMctl/bl2F2GfnTOmKdmcubhQ9a5iWitJwIuPXsA2w5ewRdOeweAQTt+wO3PzfjonBP32InLHphN9y3q2evf3uXeG3pz4FH/4vnJXejSrZ4t+uZ4JE7pKYy6iBixcZeKkDZ8Wkyl/y8r/Lu/HuhR4vn1tLBtac/3CmBERLwh6QJg04JTWlp347a3+YjUs88qzr/uVSAZKfC3u3sy8dFu1W2UrWPG05sx/s5eDNpxOd88ZHsATjl3LnuMfG+95+8x8l2eGd+VU/bZkU6dV3P2r19vzeZmUoVnEr4tqV9EzEtTGAvS8reAwr/Et0nLmtTaQWcJsFjSfhHxOHACMKHIe9bnYeA0SX+LiFWSerHmMZB1kjYHjgHuLFLP48DxwF8lDQEGALOBondX26L5r3fim5/ZvtlzTtpzp1ZqjTVl2J5LGTd3arPn3PT0zI/2JTjjf9+iSCzIl8oG6HuBk4CL0n//VFB+hqTbgD2BJQWpkPWqRq/wJOAqSV2AOcApG1DHtSSpiGmSVgLXRMTlkq4BppPkfZ4poZ4rgCslPQesAk6OiBUqHKNkZm1OuXrQkm4FDiTJV79Jcn/rIuB2SacCrwFfSk+/HzgCeAlYRgmxT+GBrWXRTb1iT42sdjOsBYr1Qi172vd7adLG5oW7dt8mdtv3rKLnPfbA9zf6WhurzedVzcwa82p2ZSDpUODiRsWvRMTR1WiPmbURNZI5yHSAjohxwLhqt8PM2hb3oM3MsqiGlht1gDazXBGg+tqI0A7QZpY7cg7azCyDnOIwM8uqFi0nWlUO0GaWOx7FYWaWVe5Bm5llUHgUh5lZdtVGfHaANrP88TA7M7OscoA2M8ugYM3jPTLOAdrMckWEUxxmZpm1uja60A7QZpYvTnGYmWWXUxxmZlnlAG1mlkXlWSxJ0vbAHwuKPg6cB/QAvgG8k5b/MCLu35BrOECbWb4EUIap3hExGxgOIKk98BZwN3AK8OuIuGRjr+EAbWa5U4Ec9Ejg5Yh4TVLZKm1XtprMzGpFRPENekuaWLCNaqbGLwO3Frw+Q9I0SddL6rmhzXSANrN8CWB1FN+gLiJGFGxXr686SZsA/wHckRZdCWxHkv6YB/xqQ5vqFIeZ5UzZn6hyODA5It4GaPgXQNI1wF82tGL3oM0sf0pLcZTqOArSG5L6FRw7Gpi+oc10D9rM8iWA+vJMJZS0GfAZ4LSC4l9IGp5e6dVGx1rEAdrMciYgyhOgI2IpsEWjshPKUjkO0GaWR55JaGaWQQ2jOGqAA7SZ5Y970GZmGeUAbWaWQRFQX1/tVpTEAdrM8sc9aDOzjHKANjPLovAoDjOzTAqIMk1UqTQHaDPLnzJN9a40B2gzy5cIWO0AbWaWTb5JaGaWTeEetJlZFpV9wf6KcYA2s3zxYklmZtkUQHiqt5lZBkX5FuyvNAdoM8udcIrDzCyjaqQHraiRu5lZJ+kd4LVqt6NCegN11W6Elawtf18fi4g+G1OBpAdJfkbF1EXEYRtzrY3lAG1FSZoYESOq3Q4rjb+vtqNdtRtgZmbr5wBtZpZRDtBWiqur3QBrEX9fbYRz0GZmGeUetJlZRjlAm5lllAO0mVlGOUCbmWWUA3SOSDpR0jRJz0q6WdKRkp6SNEXSI5L6puddIOl6SY9KmiPprII6viNperp9Oy0bKGmWpGskzZD0kKTOVfqYmdXUz0nScElPpt/N3ZJ6puc/KuliSU9LekHSfs3U3V7SJen3Mk3SmWn5eZKeScuvlqTm6pa0qaQbJD2X/ndxUFp+sqS7JD0o6UVJv6j8T8yICG852IChwAtA7/R1L6Ana0byfB34Vbp/AfAPoBPJlNiFQEdgd+A5YDNgc2AGsCswEFgFDE/ffzvw1Wp/5qxtTf2cgGnAAWnZhcD/pfuPFnwnRwCPNFP3N4E7gQ4N32/hv+n+zcCRzdUNnA1cn+7vALwObAqcDMwBuqevXwO2rfbPtK1v7kHnx8HAHRFRBxARi4BtgHGSngO+SxLEG9wXESvS8xcAfYFPA3dHxNKIeB+4C2jo1b0SEVPT/UkkwcjW1fjntB3QIyImpGVjgP0Lzr+r4NyBzdR7CPC7iFgFH32/AAelfyU9R/LfQOF3vL66Pw38Pq3jeZJAPCQ9Nj4ilkTEB8BM4GPFPqxtHAfofLsMuDwidgZOI+kZNVhRsF9P8ZUPW3p+XjX+OfUo8fwW/0wlbQpcARyTfsfXsP7vuNS6/R23Mgfo/Pgr8EVJWwBI6kXy5+pb6fGTSqjjceAoSV0kbQYcnZbZhlsCLC7IL58ATGjm/KY8DJwmqQN89P02BOM6SZsDx5RQz+PA8WkdQ4ABwOwNaI+VgX8D5kREzJD0M2CCpHpgCkmu+Q5Ji0kC+KAidUyWdCPwdFp0bURMkTSwYg3Ph5OAqyR1IcnznrIBdVxLkoqYJmklcE1EXC7pGmA6MB94poR6rgCuTFMiq4CTI2JFem/RWpmnepuZZZRTHGZmGeUUh1kNkXQocHGj4lci4uhqtMcqyykOM7OMcorDzCyjHKDNzDLKAdpajaR6SVPTdSHuSIeVbWhdN0o6Jt2/VtJOzZx7oKR9NuAar0pa5+nPTZU3Ouf9Fl7rAknntLSN1rY5QFtrWh4RwyNiGPAhMLrwYMMki5aKiK9HxMxmTjkQaHGANqs2B2irlseBT6S928cl3QvMTFdl+2W6Ats0SacBKHG5pNmSHgG2bKgoXZltRLp/mKTJSlbsG59OohkN/Ffae99PUh9JY9NrPCNp3/S9W6QrzM2QdC1QdHaGpHskTUrfM6rRsV+n5eMl9UnLtktXhJuUfu4dyvLTtDbJw+ys1aU95cOBB9Oi3YBhEfFKGuSWRMSnJHUC/i7pIZJV87YHdiJZuGkmcH2jevuQrDexf1pXr4hYJOkq4P2IuCQ97w/AryPiCUkDgHHAjsD5wBMRcaGkfwdOLeHjfC29RmfgGUljI2IhyYp/EyPivySdl9Z9BskDXUdHxIuS9iSZuXfwBvwYLQccoK01dZY0Nd1/HLiOJPXwdES8kpb/G7BLQ36ZZL2QwSQrvN0aEfXAXEl/XU/9ewGPNdRVsKJbY4cAOxVMX+6WrlWxP/D59L33pVPgizlLUsMY5G3Tti4EVgN/TMt/D9yVXmMfkun1De/vVMI1LKccoK01LY+I4YUFaaBaWlgEnBkR4xqdd0QZ29EO2CtdNrNxW0om6UCSYL93RCyT9ChrrxZXKNLr/qvxz8CsKc5BW9aMA74pqSMkK6qlK+c9Bhyb5qj7AQet571PAvtLGpS+t1da/h7QteC8h4AzG15IGp7uPgZ8JS07nOSBBs3pDixOg/MOJD34Bu1Ys3rcV0hSJ+8Cr0j6YnoNSfpkkWtYjjlAW9ZcS5JfnixpOvA7kr/07gZeTI/dBPyz8Rsj4h1gFEk64VnWpBj+DBzdcJMQOAsYkd6EnMma0SQ/IQnwM0hSHa8XaeuDQAdJs4CLSH5BNFgK7JF+hoNJnpQCyVKep6btmwF8roSfieWUp3qbmWWUe9BmZhnlAG1mllEO0GZmGeUAbWaWUQ7QZmYZ5QBtZpZRDtBmZhn1/3BvXZJXE5S5AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1oUoP0JLGNncsIua2TZfMzNpWZ7iC/n4zxwI4psx9qWhvL+zC4wf16uhuWAs8tepnHd0Fa6Gu08rUUKXnoCPi6PbsiJlZu8jQKI1iSnpQxcysU3GANjPLJpVpwv625gBtZvlTIVfQRZ8kVOJLkq5IX+8u6dC275qZWfkpStuyoJRHvW8CPgE0LO3yNvCTNuuRmVlbCxXfMqCUAP3xiJgEvAsQEetJVqk1M6tMZZqLQ9IUSWvSBWIbH7tUUkgalL6WpB9JWiJpXnPPmjQoJUBvkdS1ocuSBlO2NXHNzNpfGVMctwMTPtC+NAL4NLCsoPgEYFS6TQRuLtZ4KQH6R8B9wK6SriGZavT/lfA+M7PsiWQUR7GtpKYingDe2M6hHwDfZttr8ZOBqZGYCfSXNLS59kuZi+OXkuaQTDkq4LMRsai07puZZVBpV8iDJM0ueD05IiYXe5Okk4GVEfG8tE0uexiwvOD1irRsdVNtlTJh/+7AJuC/C8siYlnT7zIzy7DSAnR1RIxrSbOSegOXk6Q3dlgp46B/x9bFY3sCewKLgf3L0QEzs/bWhsPo9iKJkQ1Xz8OBuenQ5JVsO5f+8LSsSaWkOA4sfJ3eefxGE9XNzHIrIuYDuza8lvRnYFxEVEu6H/impLuAjwMbIqLJ9AaUdpOwcQfmpo2bmVWm8g2zu5NkAZN9JK2QdE4z1R8AXgWWkCyAUvRCt5Qc9LcKXnYBxgKrir3PzCyTonxzcUTEGUWOjyzYD2BSS9ovJQe9U8F+LUlO+t6WnMTMLFMy8ih3Mc0G6PQBlZ0i4u/bqT9mZm1KZGeujWKaW/KqW0TUSjqsPTtkZtbmKj1AA7NI8s3PpXcfpwEbGw5GxPQ27puZWfllaLa6YkrJQfcE1pGsQdgwHjoAB2gzq0wVMptQcwF613QExwtsDcwNKuTvj5nZB3WGK+iuQF+2DcwNKuTjmZltR4VEsOYC9OqIuLrdemJm1h46yare2VhSwMyszDpDiuPYduuFmVl7qvQAHRHbm4TazKziletR77ZWyjA7M7POo5PkoM3MOh1ROTfYHKDNLH98BW1mlk2dYRSHmVnn5ABtZpZBZZywv605QJtZ/vgK2swsmyolB93iRWPNzCpe+RaNnSJpjaQXCsquk/SipHmS7pPUv+DYZZKWSFos6fhi7TtAm1nuKIpvJbodmNCo7GHggIg4CHgJuAxA0n7A6cD+6XtuSpcVbJIDtJnlS5BM2F9sK6WpiCeANxqVzYiI2vTlTGB4un8ycFdE1ETEUmAJcGhz7TtAm1muNCwaW8IV9CBJswu2ia043VeB36f7w4DlBcdWpGVN8k1CM8uf0lIY1RExrrWnkPRPQC3wy9a24QBtZrmjaNthHJLOBk4Cjo14/2QrgREF1YanZU1yisPM8qWUERw7EL8lTQC+DfxNRGwqOHQ/cLqkHpL2BEYBs5pry1fQZpY75RoHLelO4CiSfPUK4EqSURs9gIclAcyMiPMiYoGke4CFJKmPSRFR11z7DtBmljvletQ7Is7YTvFtzdS/Brim1PYdoM0sfyrkSUIHaDPLl5Y9iNKhHKDNLH8coM3MsqfhQZVK4ABtZrmj+sqI0A7QZpYvXtXbKlWfneu45PrljNz3XSLghm+NoGZzFy64dgW9+tTzlxXd+e6k3dn0TrOTcFkbWrOyiusu2p0311aBghO/tI5TvlbNLVfvxsyHd6aqezB0jxou/cFy+var4/Xl3fn6p/Zl+IdrANj34I1c9N0VHfwpOpZXVLGKdP7VK5n92E78+8SRdKuqp0ev4D/ueoVbrt6N+TP78unT13Hq+WuYet3Qju5qbnXtFky8YhWjDtrMpne68M0Joxl75NuMPfJtvnr5Krp2g1v/fSh3/XhXvvbPqwEYukcNNz+yuIN7niEVcgXtR73tfb13quPA8Rt58FcDAajd0oWNb3Vl+IdrmD+zDwDPPrETh//1ho7sZu7tMqSWUQdtBqB333pG7F1D9eoqDj7qbbqml1wfOXgT1aurOrCX2VbG+aDblAO0ve9Du7/HhnVdufQHy/nJjMVcfP1yevSq47WXevKJCW8BcMRJGxi825YO7qk1eH15d155oRf7jt20TflDdw7kkGPe3lpvWXe+8Vej+fvP7c38p/u0dzezJYCI4lsGtFmAljRS0iJJt0haIGmGpF6SxkiaWbAczIC0/mOSvitplqSXJB3RTNtdJV0v6YW0nQvS8iskPZOWT1b6IHxTbUvqKem/JM2X9Kyko9PysyVNl/SgpJclfa+JfkxsmCt2CzXl/hG2u65dg70P3Mz/TN2FSZ/eh3c3deG0b67hhm+N4DNnVXPjgy/Rq28dte+po7tqwOaNXfi3r43kvKtX0menrUnVX/1wCF27Bcd8bj0AA3fdwi+eWchND7/EuVet5Npv7MHGt/N9bab64lsWtPW3NAr4SUTsD7wJ/C0wFfhOuhzMfJLJRRp0i4hDgYsblTc2ERgJjEnbaZhv9caIOCQiDgB6kUz311zbk4CIiAOBM4A7JPVMj40BTgMOBE6TVDhNICRvnBwR4yJiXBU9ivwosq96dRVrV1ex+NnkCuup/+nH3gduZvmSnlx+xl58c8JoHvvNAFa/1r2De2q1W+DfvjaSYz63nsNP3JpymnH3QGY9sjPfufE1lP4d7d4j2HlgMifPqIM2s9vI91j5auX/vrZWCybs73BtHaCXRsRz6f4cYC+gf0Q8npbdARxZUH96Qd2RzbR7HPCzhmVlIqJhyZmjJT0taT5wDMnaX821fTjwi7SNF4HXgNHpsUcjYkNEvEsy+9QexT5spVu/torqVd0Zvte7AIw54h2WvdyTfrskKQ0p+OJFf+F/fr5LR3Yz9yLghkt3Z8SoGv723LXvlz/zx52YdtOuXHX7q/TsvTXCvLmuK3XpnGmrX+vOyqXd+dDu77V3t7OjlPRGRlIcbT2Ko/Df/XVA/xLr19HCvqVXvjcB4yJiuaSrgJ4FVVraduO+52LEy0/+eRjfuXEZ3aqC15d15/uXjOC4U9fzmbOrAfjf3/djxl0DO7iX+bZgVh8e/fVA9vzIZs4/bh8AvnLZKm76l+FsqRGXnbY3sHU43fyZfZl63Yfo1g26dAkuvHYFOw9odpbLTi8rV8jFtHfQ2QCsl3RERDwJfBl4vMh7tudh4FxJf4yIWkkD2brMY7WkvsCpwK+LtPMk8HfAHySNBnYHFgNjW9GnTuHVBb244ITR25T95rbB/Oa2wR3UI2vsgI9v5KFVz32g/NBjF223/hF/vYEjPPJmWw7QTToL+Kmk3sCrwFda0catJKmIeZK2ALdExI2SbgFeAF4HnimhnZuAm9OUSC1wdkTUSL4JZtaZVcoVtCIjuZZKt7MGxsd1bEd3w1pge1ehlm1dhy6ZsyMLuQLs1G94jD3swqL1nvj9d3b4XDsqF3lVM7NClXIFnenBkJKOl/Rco+2+ju6XmVW4Mo3ikDRF0hpJLxSUDZT0cPoMxcMFz3pI0o8kLUmf3yh6ryvTAToiHoqIMY22Uzq6X2ZW2co4Dvp2YEKjsn8kGaY7Cng0fQ1wAsmzIaNInuW4uVjjmQ7QZmZlFyVupTQV8QTwRqPik0me8SD972cLyqdGYibQX1Kzs445B21muSJAdW2ahB4SEavT/deBIen+MGB5Qb0VadlqmuAAbWa5o9JyzIMkzS54PTkiJrfkPBERUutvSTpAm1m+lJ7CqG7lMLu/SBoaEavTFMaatHwlUDinz/C0rEnOQZtZzrT5XBz3kzyQR/rf3xaUn5mO5hgPbChIhWyXr6DNLHfKNQ5a0p3AUSTpkBUkM2VeC9wj6RySCdi+kFZ/ADgRWAJsooSnqB2gzSx/yvQEdUSc0cShDzxWHMlj25Na0r4DtJnlS7T5KI6ycYA2s/ypjPjsAG1m+VPiMLsO5wBtZvnjAG1mlkHB1uU9Ms4B2sxyRYRTHGZmmVVfGZfQDtBmli9OcZiZZZdTHGZmWeUAbWaWRTs8GVK7cYA2s3wJwI96m5llk3PQZmZZ5QBtZpZBAdQ7QJuZZZBvEpqZZZcDtJlZBgVQVxmPEjpAm1nOBERlBGiv6m1m+VOmVb0lXSJpgaQXJN0pqaekPSU9LWmJpLsldW9tNx2gzSxfGkZxFNuKkDQMuBAYFxEHAF2B04HvAj+IiL2B9cA5re2qA7SZ5U+ZrqBJ0sS9JHUDegOrgWOAX6fH7wA+29puOkCbWf6UFqAHSZpdsE3ctolYCVwPLCMJzBuAOcCbEVGbVlsBDGttN32T0MzyJQLq6kqpWR0R45o6KGkAcDKwJ/AmMA2YUI4uNnCANrP8Kc846OOApRGxFkDSdOAwoL+kbulV9HBgZWtP4BSHmeVPeXLQy4DxknpLEnAssBD4I3BqWucs4Let7aYDtJnlTAkjOEoYxRERT5PcDJwLzCeJp5OB7wDfkrQE2AW4rbU9dYrDzPIlIMr0oEpEXAlc2aj4VeDQcrTvAG1m+eNHvc3MMigC6h2gzcyyybPZmZllU/gK2swsizxhv5lZNnnJKzOzbAogSnvUu8M5QJtZvkTlTNjvAG1muRNOcZiZZVSFXEErKuRuZtZJWgu81tH9aCODgOqO7oSVrDN/X3tExOAdaUDSgyQ/o2KqI6Ks04e2lAO0FSVpdnPz4lq2+PvqPDybnZlZRjlAm5lllAO0lWJyR3fAWsTfVyfhHLSZWUb5CtrMLKMcoM3MMsoB2swsoxygzcwyygE6RySdKWmepOcl/VzSZyQ9LelZSY9IGpLWu0rSFEmPSXpV0oUFbXxL0gvpdnFaNlLSIkm3SFogaYakXh30MTOrqZ+TpDGSZqbfzX2SBqT1H5P0XUmzJL0k6Yhm2u4q6fr0e5kn6YK0/ApJz6TlkyWpubYl9ZT0X5Lmp78XR6flZ0uaLulBSS9L+l7b/8SMiPCWgw3YH3gJGJS+HggMYOtInq8B30/3rwL+D+hB8kjsOqAKOJhkefk+QF9gAfAxYCRQC4xJ338P8KWO/sxZ25r6OQHzgE+lZVcD/5nuP1bwnZwIPNJM2+cDvwa6NXy/hf9N938OfKa5toFLgSnp/r7AMqAncDbJatX90tevASM6+mfa2TdfQefHMcC0iKgGiIg3gOHAQ5LmA/9AEsQb/C4iatL6a4AhwOHAfRGxMSLeAaYDDVd1SyPiuXR/Dkkwsg9q/HPaC+gfEY+nZXcARxbUn15Qd2Qz7R4H/CwiauH97xfg6PRfSfNJfgcKv+PttX048Iu0jRdJAvHo9NijEbEhIt4FFgJ7FPuwtmMcoPPtx8CNEXEgcC7JlVGDmoL9OorPfNjS+nnV+OfUv8T6Lf6ZSuoJ3AScmn7Ht7D977jUtv0dtzMH6Pz4A/B5SbsASBpI8s/Vlenxs0po40ngs5J6S+oDnJKWWettANYX5Je/DDzeTP2mPAycK6kbvP/9NgTjakl9gVNLaOdJ4O/SNkYDuwOLW9EfKwP/BcyJiFgg6RrgcUl1wLMkueZpktaTBPA9i7QxV9LtwKy06NaIeFbSyDbreD6cBfxUUm+SPO9XWtHGrSSpiHmStgC3RMSNkm4BXgBeB54poZ2bgJvTlEgtcHZE1KT3Fq2d+VFvM7OMcorDzCyjnOIwqyCSjge+26h4aUSc0hH9sbblFIeZWUY5xWFmllEO0GZmGeUAbe1GUp2k59J5Iaalw8pa29btkk5N92+VtF8zdY+S9MlWnOPPkj6w+nNT5Y3qvNPCc10l6e9b2kfr3BygrT1tjogxEXEA8B5wXuHBhocsWioivhYRC5upchTQ4gBt1tEcoK2jPAnsnV7dPinpfmBhOivbdekMbPMknQugxI2SFkt6BNi1oaF0ZrZx6f4ESXOVzNj3aPoQzXnAJenV+xGSBku6Nz3HM5IOS9+7SzrD3AJJtwJFn86Q9BtJc9L3TGx07Adp+aOSBqdle6Uzws1JP/e+ZflpWqfkYXbW7tIr5ROAB9OiscABEbE0DXIbIuIQST2A/5U0g2TWvH2A/UgmbloITGnU7mCS+SaOTNsaGBFvSPop8E5EXJ/W+xXwg4h4StLuwEPAR4Argaci4mpJfw2cU8LH+Wp6jl7AM5LujYh1JDP+zY6ISyRdkbb9TZIFXc+LiJclfZzkyb1jWvFjtBxwgLb21EvSc+n+k8BtJKmHWRGxNC3/NHBQQ36ZZL6QUSQzvN0ZEXXAKkl/2E7744EnGtoqmNGtseOA/QoeX945naviSOBz6Xt/lz4CX8yFkhrGII9I+7oOqAfuTst/AUxPz/FJksfrG97fo4RzWE45QFt72hwRYwoL0kC1sbAIuCAiHmpU78Qy9qMLMD6dNrNxX0om6SiSYP+JiNgk6TG2nS2uUKTnfbPxz8CsKc5BW9Y8BJwvqQqSGdXSmfOeAE5Lc9RDgaO3896ZwJGS9kzfOzAtfxvYqaDeDOCChheSxqS7TwBfTMtOIFnQoDn9gPVpcN6X5Aq+QRe2zh73RZLUyVvAUkmfT88hSR8tcg7LMQdoy5pbSfLLcyW9APyM5F969wEvp8emAn9q/MaIWAtMJEknPM/WFMN/A6c03CQELgTGpTchF7J1NMm/kgT4BSSpjmVF+vog0E3SIuBakj8QDTYCh6af4RiSlVIgmcrznLR/C4CTS/iZWE75UW8zs4zyFbSZWUY5QJuZZZQDtJlZRjlAm5lllAO0mVlGOUCbmWWUA7SZWUb9fw+MsGkokpEgAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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bCiHpRklLJc1o5tj5kkLSwPSxJP1C0mxJ01ubrd2okLU4fifpOZIlRwUcExGvFtZ8M7MMar8e9E3A1TRZH1/SUOBzwNs5xUcBw9JtP+Da9GeLChnFsQ2wBvgTcB+wOi0zMytP7bQedEQ8Dixv5tBVwLeb1DQWuCUSTwH9JLU6eb2QHPT9rL95bA9gO2AWsGsBzzUzy5wCc9ADJT2b83hiREzMW7c0FlgQES9JHxsNMhiYl/N4flq2qKW6Cklx7N7kxfcG/qOF083MOouaiBjVlidI6gV8hyS9sdHaPJMwIp6X1GrexMws04o3imMHkixDY+95CPB8OrlvAR+/G9WQtKxFhdw09ps5D7sAewML29ZmM7OMiOKtxRERLwNbNj6W9BYwKiJqJN0HnCXpTpKLgysjosX0BhQ2zK5PzlZFkpMeu2HNNzPLgHa6SCjpDpJbAA6XNF/S+FZOfwB4E5hNcgvBvKniVnvQ6QSVPhHxrcKaa2aWbaL9JqpExAl5jlfn7AdwZlvqb+2WV90iok7SgW2p0Mws88pkJmFrPehpJPnmF9PcySRgdePBiLi7yG0zM2t/GVqtLp9CRnH0AJaR3IOwcTx0AA7QZlaeymQ1odYC9JbpCI4ZrA/Mjcrk94+Z2Sd1hh50V6A3Hw/Mjcrk7ZmZNaNMIlhrAXpRRPygw1piZtYROsldvbNxSwEzs3bWGVIch3dYK8zMOlK5B+iIaG4JPTOzslesqd7trc2LJZmZlbVOkoM2M+t0RPlcYHOANrPK4x60mVk2dYZRHGZmnZMDtJlZBhVxwf725gBtZpXHPWgzs2xyDtrMLKscoM3Mssk9aDOzLAo6xYL9ZmadTnveNLbYHKDNrPI4QJuZZZOiPCK0A7SZVRavZmdmll3OQZuZZVS5TPXuUuoGmJl1uChgK4CkGyUtlTQjp+wnkl6TNF3SPZL65Ry7UNJsSbMkHZGvfgdoM6sskaQ48m0Fugk4sknZw8BuEbEH8DpwIYCkXYAvA7umz7lGUtfWKneANrPK00496Ih4HFjepOyhiKhLHz4FDEn3xwJ3RkRtRMwBZgP7tla/A7SZVZTGiSoF9KAHSno2Zzt1A17u34G/pPuDgXk5x+anZS3yRUIzqzhqKKiLXBMRozb4NaTvAnXA7za0DgdoM6ssHTAOWtJJwOeBwyM+mhWzABiac9qQtKxFTnHYxxw74R0mPvoav/7rLC64Zi7dq9aPRzrjhwv44xsvl7B1BrB0QXf+87gdmHDIzkwYM5x7bhgIwON/6suEMcM5cvCevP5Sz489585fbslJB4xg/EE78+xjfUrR7ExRQ/5tg+uWjgS+DfzfiFiTc+g+4MuSqiRtBwwDprVWlwO0fWTAVus4ZnwNZx21E6cdNpyuXYIxY1cAMGyPNfTuW1/aBhoAXbsFp160kOunvsbP//wGf7ppIHNfr6J65w+46Ia32H3/1R87f+7rVTx27+ZMfPQ1Lr39Ta6+cAj1lf5Vtt8wuzuAJ4HhkuZLGg9cDfQBHpb0oqTrACJiJnAX8ArwIHBmRLT6TTjFYR/TtVtQ1aOBunWiqmcDy5Z0p0uXYMJ/L+TyM7flwKNWlrqJFW/AoDoGDEoGCfTq3cDQHWupWdSdfQ5Z1ez5T07uy5ix77JJVbDVNh/yqepaZr3Qi11GrWn2/ErQXjMJI+KEZop/08r5lwKXFlq/A7R9ZNni7vz+2i249ZlXqf1APD+1D89P7cMx49/hyYf6snxp91I30ZpYPG8T/jmjJzvv3XKwrVnUnRH7rD8+cOt1LFtcwd9lAGWyWFLRUhySqiW9Kul6STMlPSSpp6SRkp7KmWWzeXr+Y5J+JGmapNclHdxK3V0lXSFpRlrP2Wn5RZKeScsnSlJrdUvqIem3kl6W9IKkQ9PykyTdLelBSW9I+nEL7Ti1cQjOOmrb+yPscL371vGZI95j3H4j+Mpeu9KjVwOfPW45B39hBffeOLDUzbMm1q7uwg9Pqeb0Hyxg0z5lMnc5I4qZg25Pxc5BDwN+FRG7AiuALwK3AP+VzrJ5Gbg45/xuEbEvcF6T8qZOBaqBkWk9jcNYro6IT0fEbkBPkquordV9JhARsTtwAnCzpB7psZHAl4DdgS9Jyr36CskTJ0bEqIgY1Z2qPB9F9u118CoWz9uElcu7UV8n/v5AX0781hI+Vf0hv/3Hq9z89CtU9Wzgt39/tdRNrXh16+CHp1Rz2L++y0FHt552Grj1Ot5ZuL7HXLOoOwO2WlfsJmZWG8ZBl1yxA/SciHgx3X8O2AHoFxFT07KbgdE559+dc251K/V+Fvh142ydiGicyXOopKclvQwcRjKlsrW6DwJuS+t4DZgL7JQemxIRKyPiA5Kk/rb53my5W7qgOyP2Xk1VzwYgGHnQKv4wcSAnjNyVcfvtwrj9dqF2bRdOPnBEqZta0SLgyvO3YeiwWr542jt5z9//c+/x2L2b82GtWPz2JiyYU8XwvSo3/0xEYVsGFDsHnft3fz3Qr8Dz62lj29Ke7zXAqIiYJ+kSoEfOKW2tu2nbO32+ftYLm/LE/f341eTXqa8Ts2f05C+3DSh1s6yJmdM2Zcrv+7PdiLWc8dnhAJx84ULWfdiFa743mJXLuvHfJ27PDruu5bI73qR6+AeM/sIKTh2zM127BmddNp+ura4A0fllpYecT0cHnZXAu5IOjogngBOBqXme05yHgdMkPRoRdZL6s/42kDWSegPHAb/PU88TwFeBv0raCdgGmAXsvQFt6hRuvWIrbr1iqxaPHzNs9w5sjTVnt/1WM3nhi80ea2mUzVfOXcJXzl1SxFaVGQfoFo0DrpPUC3gTOHkD6riBJBUxXdI64PqIuFrS9cAMYDHwTAH1XANcm6ZE6oCTIqI2vbZoZp1UufSgFRnJtZS7zdQ/9tPhpW6GtUFLvVDLrq5bz35uY9bHAOjTd0jsfeA5ec97/C//tdGvtbE6fV7VzKypculBZzpAp3cc+FGT4jkRcWwp2mNmnUSZZA4yHaAjYjIwudTtMLPOxT1oM7Ms6oDlRtuLA7SZVRQBqi+PCO0AbWYVR85Bm5llkFMcZmZZlZ21NvJxgDaziuNRHGZmWeUetJlZBoVHcZiZZVd5xGcHaDOrPB5mZ2aWVQ7QZmYZFKy/vUfGOUCbWUUR4RSHmVlmNZRHF7rYd/U2M8uWxhRHvq0Akm6UtFTSjJyy/pIelvRG+nPztFySfiFptqTpkvLe+9QB2swqjiLybgW6CTiySdkFwJSIGAZMSR8DHAUMS7dTgWvzVe4AbWaVJyL/VlA18TiwvEnxWODmdP9m4Jic8lsi8RTQT9LWrdXvAG1mFaaA4JwE6IGSns3ZTi3wBQZFxKJ0fzEwKN0fDMzLOW9+WtYiXyQ0s8oSQGFTvWs29q7eERHShi/N5B60mVWcdsxBN2dJY+oi/bk0LV8ADM05b0ha1iIHaDOrPO2Ug27BfcC4dH8ccG9O+dfT0Rz7AytzUiHNcorDzCpLAA3tM1FF0h3AGJJ89XzgYuBy4C5J44G5wL+lpz8AHA3MBtYAJ+er3wHazCpM+91RJSJOaOHQ4c2cG8CZbanfAdrMKo+nepuZZVAA9eUx1dsB2swqTEA4QJuZZZNTHGZmGdSOoziKzQHazCqPe9BmZhnlAG1mlkERUF9f6lYUxAHazCqPe9BmZhnlAG1mlkXhURxmZpkUEJ6oYmaWUZ7qbWaWQRHQ4ABtZpZNvkhoZpZN4R60mVkWtd+C/cXmAG1mlcWLJZmZZVMA4aneZmYZFF6w38wss8IpDjOzjCqTHrSiTK5mZp2kd4C5pW5HkQwEakrdCCtYZ/6+to2ILTamAkkPknxG+dRExJEb81obywHa8pL0bESMKnU7rDD+vjqPLqVugJmZNc8B2swsoxygrRATS90AaxN/X52Ec9BmZhnlHrSZWUY5QJuZZZQDtJlZRjlAm5lllAN0BZH0dUnTJb0k6VZJX5D0tKQXJD0iaVB63iWSbpT0mKQ3JZ2TU8c3Jc1It/PSsmpJr0q6XtJMSQ9J6lmit5lZLX1OkkZKeir9bu6RtHl6/mOSfiRpmqTXJR3cSt1dJV2Rfi/TJZ2dll8k6Zm0fKIktVa3pB6Sfivp5fTfxaFp+UmS7pb0oKQ3JP24+J+YERHeKmADdgVeBwamj/sDm7N+JM8pwE/T/UuAfwBVJFNilwHdgX2Al4FNgd7ATGAvoBqoA0amz78L+Fqp33PWtpY+J2A6cEha9gPgZ+n+YznfydHAI63UfQbwe6Bb4/eb+zPdvxX4Qmt1A+cDN6b7OwNvAz2Ak4A3gb7p47nA0FJ/pp19cw+6chwGTIqIGoCIWA4MASZLehn4T5Ig3uj+iKhNz18KDAIOAu6JiNURsQq4G2js1c2JiBfT/edIgpF9UtPPaQegX0RMTctuBkbnnH93zrnVrdT7WeDXEVEHH32/AIemfyW9TPJvIPc7bq7ug4Db0jpeIwnEO6XHpkTEyoj4AHgF2Dbfm7WN4wBd2X4JXB0RuwOnkfSMGtXm7NeTf+XDtp5fqZp+Tv0KPL/Nn6mkHsA1wHHpd3w9zX/Hhdbt77iDOUBXjr8Cx0saACCpP8mfqwvS4+MKqOMJ4BhJvSRtChybltmGWwm8m5NfPhGY2sr5LXkYOE1SN/jo+20MxjWSegPHFVDPE8BX0zp2ArYBZm1Ae6wd+DdghYiImZIuBaZKqgdeIMk1T5L0LkkA3y5PHc9LugmYlhbdEBEvSKouWsMrwzjgOkm9SPK8J29AHTeQpCKmS1oHXB8RV0u6HpgBLAaeKaCea4Br05RIHXBSRNSm1xatg3mqt5lZRjnFYWaWUU5xmJURSUcAP2pSPCciji1Fe6y4nOIwM8sopzjMzDLKAdrMLKMcoK3DSKqX9GK6LsSkdFjZhtZ1k6Tj0v0bJO3SyrljJB2wAa/xlqRP3P25pfIm56xq42tdIulbbW2jdW4O0NaR1kbEyIjYDfgQOD33YOMki7aKiFMi4pVWThkDtDlAm5WaA7SVyhPAjmnv9glJ9wGvpKuy/SRdgW26pNMAlLha0ixJjwBbNlaUrsw2Kt0/UtLzSlbsm5JOojkd+Ebaez9Y0haS/pC+xjOSDkyfOyBdYW6mpBuAvLMzJP1R0nPpc05tcuyqtHyKpC3Ssh3SFeGeS9/3zu3yaVqn5GF21uHSnvJRwINp0d7AbhExJw1yKyPi05KqgL9Leohk1bzhwC4kCze9AtzYpN4tSNabGJ3W1T8ilku6DlgVEVek590OXBURf5O0DTAZGAFcDPwtIn4g6f8A4wt4O/+evkZP4BlJf4iIZSQr/j0bEd+QdFFa91kkN3Q9PSLekLQfycy9wzbgY7QK4ABtHamnpBfT/SeA35CkHqZFxJy0/HPAHo35ZZL1QoaRrPB2R0TUAwsl/bWZ+vcHHm+sK2dFt6Y+C+ySM315s3StitHAv6bPvT+dAp/POZIaxyAPTdu6DGgA/ictvw24O32NA0im1zc+v6qA17AK5QBtHWltRIzMLUgD1ercIuDsiJjc5Lyj27EdXYD902Uzm7alYJLGkAT7z0TEGkmP8fHV4nJF+rormn4GZi1xDtqyZjJwhqTukKyolq6c9zjwpTRHvTVwaDPPfQoYLWm79Ln90/L3gT455z0EnN34QNLIdPdx4Ctp2VEkNzRoTV/g3TQ470zSg2/UhfWrx32FJHXyHjBH0vHpa0jSnnlewyqYA7RlzQ0k+eXnJc0Afk3yl949wBvpsVuAJ5s+MSLeAU4lSSe8xPoUw5+AYxsvEgLnAKPSi5CvsH40yfdJAvxMklTH23na+iDQTdKrwOUkvyAarQb2Td/DYSR3SoFkKc/xaftmAmML+EysQnmqt5lZRrkHbWaWUQ7QZmYZ5QBtZpZRDtBmZhnlAG1mllEO0GZmGeUAbWaWUf8LRYUSqP+YOKoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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uOBbAJZVqlJlZJSkjPeRiWpuLY6eObIiZWYcIQVeasF/SOGB3CnLPEXFby+8wM8uwau9BN5J0GclA7N1Jcs/HAk9RML2emVlVqZIAXcoojs8DRwBvRcQZwCeAARVtlZlZJVX7KI4C70dEg6Q6SdsAK/johB9mZtWjvBP2V1QpAXq2pIHADSQjO96jlQmmzcyyrupHcTSKiPPS3eslPQhsExFzKtssM7MKqvYALWmf1o5FxHOVaZKZWWV1hR70v7VyLIDDy9yWqrZ8bl+u+Pj4zm6GtcFDy27p7CZYG3UfXqaKqj0HHRGHdWRDzMw6RIZGaRRT0oMqZmZdigO0mVk2qUwT9leaA7SZ5U+V9KBLWVFFkr4i6Yfp6x0lTax808zMyk9R2pYFpTzqfS1wANC49tY64FcVa5GZWaV1oSWv9ouI84EPACJiNcky4mZm1alMc3FIujldq3VeM8culhSShqSvJekXkhZJmtPasyaNSgnQGyV1b2yypKGUbU1cM7OOV8YUxy3AMX9TvzQK+DTwRkHxscCYdJsCXFes8lIC9C+A+4Bhkq4gmWr0X0p4n5lZ9kQyiqPYVlJVEU8Aq5o59DPgO3y0Lz4ZuC0SM4GBklp99KaUuTjukPQsyZSjAo6PiIWlNd/MLIMqeBNQ0mRgaUT8RfpILnsE8GbB6yVp2fKW6iplwv4dgQ3A7wrLIuKNlt9lZpZhpQXoIZJmF7yeGhFTW3uDpL7ApSTpjS1Wyjjo37N58djewE7AS8Ae5WiAmVlHKzHHXBMRE9pY9c4kMbKx9zwSeC4dmryUj86lPzIta1EpKY49C1+ndx7Pa+F0M7Pcioi5wLDG15L+CkyIiBpJDwBfl3QXsB+wNiJaTG9AaTcJmzbgubRyM7PqVL5hdneSLGCyq6Qlks5s5fQ/AK8Bi0gWQCna0S0lB/2tgpfdgH2AZcXeZ2aWSVG+uTgi4pQix0cX7AdwflvqLyUH3b9gv44kJ31vWy5iZpYpGXmUu5hWA3T6gEr/iPh2B7XHzKyiRHbm2iimtSWvekREnaSDOrJBZmYVV+0BGphFkm9+Ib37eA+wvvFgREyrcNvMzMovQ7PVFVNKDro38A7JGoSN46EDcIA2s+pUJbMJtRagh6UjOOaxOTA3qpJ/f8zM/lZX6EF3B/rx0cDcqEo+nplZM6okgrUWoJdHxI86rCVmZh2hi6zqnY0lBczMyqwrpDiO6LBWmJl1pGoP0BHR3CTUZmZVr1yPeldaKcPszMy6ji6SgzYz63JE9dxgc4A2s/xxD9rMLJu6wigOM7OuyQHazCyDyjhhf6U5QJtZ/rgHbWaWTc5Bm5lllQO0mVk2VUsPultnN8DMrEMFyYT9xbYSSLpZ0gpJ8wrKfirpRUlzJN0naWDBsUskLZL0kqSji9XvAG1mudK4aGyxrUS3AMc0KZsBjIuIvYCXgUsAJO0OnAzskb7n2nRh7hY5QJtZ/kQJWynVRDwBrGpS9lBE1KUvZwIj0/3JwF0RURsRi4FFwMTW6neANrPcUUTRDRgiaXbBNqUdl/oa8Md0fwTwZsGxJWlZi3yT0MzypfQeck1ETGjvZSR9H6gD7mhvHQ7QZpY7lR7FIel04B+AIyKi8WpLgVEFp41My1rkFIeZ5Y4aim/trls6BvgO8NmI2FBw6AHgZEm9JO0EjAFmtVaXe9Bmlj9l6kFLuhOYRJKvXgJcRjJqoxcwQxLAzIg4JyLmS7obWECS+jg/Iupbq98B2szypW3D6FqvKuKUZopvauX8K4ArSq3fAdrM8qdKniR0gDazXGl8UKUaOECbWe6ooToitAO0meWLV/W2ajRy5w+49PrXN73efscPuf2n23PfjUMBOPHsFUy5bDlfGLcH767yX53OsmJpT3560Y6sWdkTFBz3lXc44awabvjRDsycsQ09twqGf6yWi3/2Jv0GJIME7vrlMB68czDduwXn/ngpEyat6+RP0bm8oopVnSWv9ua8o3YFoFu34I7nFvA/fxwAwNAdPmSfQ9fx9pKendlEA7r3CKb8cBlj9nqfDe914+vHjGWfQ9axzyHr+Nqly+jeA2788XDu+uUwzvrBcl5/uReP3b8tUx99kVVv9+R7J+3MTU8tpHur0/R0cVXSg/aDKtas8Qe/x/LXt2LF0q0AOPvyZdz04x2IKvmL3ZUN3q6OMXu9D0Dffg2M2qWWmuU9+eSkdXRPu1x/98kN1CxP/jH98/QBTJq8mq16Bdvv+CE7jK7lpef7dlbzM6GMs9lVlAO0NWvS5NU89t/bAnDA0Wupeasnry3o08mtsqbeenMrXp3Xh9322fCR8ul3DmLfw5M0Rs3yngzdYeOmY0OGb+Sdt3L8P6EAIopvGVCxAC1ptKSFkm6QNF/SQ5L6SBovaWbBZNbbpuc/JulKSbMkvSzp4Fbq7i7pKknz0nouSMt/KOmZtHyq0sd4WqpbUm9J/yFprqTnJR2Wlp8uaZqkByW9IulfW2jHlMaZrjZSW+6vsNP06NnA/p9+lyd+N4BefRo4+YIV3PbT7Tu7WdbE++u78c9njeacHy1l6/6bk6r/+fPt6N4jOPxzqzuxddlWyUe9y6nSPegxwK8iYg9gDXAicBvw3XQy67kkj0Y26hERE4FvNClvagowGhif1tM4W9Q1EbFvRIwD+pBMVtJa3ecDERF7AqcAt0rqnR4bD5wE7AmcJKlwkhNI3jg1IiZExISe9CryVVSPfQ9fx6K5fVhT05PhH6tl+x0/5LqHX+LWpxcwdPhGfjX9ZbYdurF4RVYxdRvhn88azeGfW82njlu7qfyh3w5i1sPb8N1rXifpniQ95pXLNveYa5b3ZPD2+f39yjxhf0VVOkAvjogX0v1ngZ2BgRHxeFp2K3BIwfnTCs4d3Uq9RwK/bpwUOyIaJ8w+TNLTkuYCh5OsXNBa3Z8CfpPW8SLwOjA2PfZIRKyNiA9Inp3/WLEP21VMOn7NpvTGX1/sw0l77cFp++3OafvtzsrlPTn/6LGsXpnj/yJ3sgi4+uIdGTWmlhPPXrmp/JlH+3PPtcO4/JbX6N13c4TZ/9Pv8tj92/JhrXjrja1YurgXu+69obmq86GU9EZGUhyVHsVR+P/+emBgiefX08a2pT3fa4EJEfGmpMuB3gWntLXupm3PxYiXXn3q2efgdfz8OyOLn2ydYv6srXnkvwax09+9z7lHJqNuzrhkGdf+35FsrBWXnLQLALt9cj0XXbmE0bt+wCGfWcOUSbvRvXvw9X9Zku8RHGSnh1xMRwedtcBqSQdHxJPAqcDjRd7TnBnA2ZIejYg6SYPYvMxjjaR+wOeB/ypSz5PAl4E/SRoL7Ai8BOzTjjZ1CbXvd+cL48a1ePy0/XbvwNZYc8btt57py174m/KJRyxs8T1fuuhtvnTR2xVsVZVxgG7RacD1kvoCrwFntKOOG0lSEXMkbQRuiIhrJN0AzAPeAp4poZ5rgevSlEgdcHpE1KoxeWdmXVK19KAVGcm1VLttNCj20xGd3Qxrg+Z6oZZt3YcvenZLlqEC6D9gZOxz0IVFz3vij9/d4mttqVzkVc3MClVLDzrTAVrS0cCVTYoXR8QJndEeM+siqiRzkOkAHRHTgemd3Q4z61rcgzYzyyJPN2pmlk0CVF8dEdoB2sxyR1WSg/ZsdmaWL1HiVgJJN0taIWleQdkgSTPSidZmFEwIJ0m/kLQoneSt6ANxDtBmljNlnYvjFuCYJmXfI5nLZwzwSPoa4FiSCeTGkEz4dl2xyh2gzSx3yjWbXUQ8AaxqUjyZZCI40j+PLyi/LRIzgYGShrdWvwO0meVPaT3oIY3zvafblBJr3y4ilqf7bwHbpfsjgDcLzluSlrXINwnNLF+i5FEcNVv6qHdEhNT+UdfuQZtZ/pTpJmEL3m5MXaR/rkjLlwKFC3+MTMta5ABtZrmjiKLbFniAZNZO0j/vLyj/ajqaY39gbUEqpFlOcZhZ/pRpHLSkO4FJJPnqJSTL6f0EuFvSmSSrNH0xPf0PwHHAImADJUy17ABtZvkSbF7eY0urijilhUN/M/dwJHM7n9+W+h2gzSxXxBanMDqMA7SZ5U9DmbrQFeYAbWb5UsYUR6U5QJtZ7jjFYWaWVQ7QZmZZ1KbJkDqVA7SZ5UsAnrDfzCybnIM2M8sqB2gzswwKoMEB2swsg3yT0MwsuxygzcwyKID66niU0AHazHImIBygzcyyySkOM7MM8igOM7MMcw/azCyjHKDNzDIoAurrO7sVJXGANrP8cQ/azCyjqiRAd+vsBpiZdaxIRnEU20og6ZuS5kuaJ+lOSb0l7STpaUmLJP1W0lbtbakDtJnlS0BEQ9GtGEkjgAuBCRExDugOnAxcCfwsInYBVgNntrepDtBmlj/1DcW30vQA+kjqAfQFlgOHA/+VHr8VOL69zXSANrN8iYCGhuIbDJE0u2Cb8tFqYilwFfAGSWBeCzwLrImIuvS0JcCI9jbVNwnNLH9Ku0lYExETWjooaVtgMrATsAa4BzimHM1r5ABtZrkTDWWZLOlIYHFErASQNA04CBgoqUfaix4JLG3vBZziMLOcSSfsL7YV9wawv6S+kgQcASwAHgU+n55zGnB/e1vqAG1m+dI4WdIWDrOLiKdJbgY+B8wliadTge8C35K0CBgM3NTepjrFYWa5EkCU6VHviLgMuKxJ8WvAxHLU7wBtZvkSnrDfzCyzwvNBm5llVJX0oBVVMmlI1klaCbze2e2okCFATWc3wkrWlX+vj0XE0C2pQNKDJN9RMTURUdZxzW3lAG1FSZrd2oB9yxb/Xl2Hh9mZmWWUA7SZWUY5QFsppnZ2A6xN/Ht1Ec5Bm5lllHvQZmYZ5QBtZpZRDtBmZhnlAG1mllEO0Dki6auS5kj6i6TbJX0mXX34eUkPS9ouPe9ySTdLekzSa5IuLKjjW+kKxvMkfSMtGy1poaQb0hWOH5LUp5M+Zma19D1JGi9pZvrb3Jeu1EH6/V8paZaklyUd3Erd3SVdlf4ucyRdkJb/UNIzafnUdN7iFutOV6X+D0lz078Xh6Xlp0uaJulBSa9I+tfKf2NGRHjLwQbsAbwMDElfDwK2ZfNInrOAf0v3Lwf+F+hF8kjsO0BP4JMk895uDfQD5gN7A6OBOmB8+v67ga909mfO2tbS9wTMAQ5Ny34E/Hu6/1jBb3Ic8HArdZ9LMjdxj8bft/DPdP924DOt1Q1cDNyc7u9GMil9b+B0kmk0B6SvXwdGdfZ32tU396Dz43DgnoioAYiIVSTL8UyXNBf4PyRBvNHvI6I2PX8FsB3wKeC+iFgfEe8B04DGXt3iiHgh3X+WJBjZ32r6Pe0MDIyIx9OyW4FDCs6fVnDu6FbqPRL4daSLlaa/L8Bh6f+S5pL8HSj8jZur+1PAb9I6XiQJxGPTY49ExNqI+IBk5ZCPFfuwtmUcoPPtl8A1EbEncDZJz6hRbcF+PcVnPmzr+XnV9HsaWOL5bf5OJfUGrgU+n/7GN9D8b1xq3f6NO5gDdH78CfiCpMEAkgaR/He1cUHL00qo40ng+HQNtq2BE9Iya7+1wOqC/PKpwOOtnN+SGcDZknrApt+3MRjXSOrH5nXyWvMk8OW0jrHAjsBL7WiPlYH/BcyJiJgv6QrgcUn1wPMkueZ7JK0mCeA7FanjOUm3ALPSohsj4nlJoyvW8Hw4DbheUl+SPO8Z7ajjRpJUxBxJG4EbIuIaSTcA84C3gGdKqOda4Lo0JVIHnB4Rtem9RetgftTbzCyjnOIwM8sopzjMqoiko4ErmxQvjogTOqM9VllOcZiZZZRTHGZmGeUAbWaWUQ7Q1mEk1Ut6IZ0X4p50WFl767pF0ufT/Rsl7d7KuZMkHdiOa/xV0t+s/txSeZNz3mvjtS6X9O22ttG6Ngdo60jvR8T4iBgHfAicU3iw8SGLtoqIsyJiQSunTALaHKDNOpsDtHWWJ4Fd0t7tk5IeABaks7L9NJ2BbY6kswGUuEbSS5IeBoY1VpTOzDYh3T9G0nNKZux7JH2I5hzgm2nv/WBJQyXdm17jGUkHpe8dnM4wN1/SjUDRpzMk/bekZ9P3TGly7Gdp+SOShqZlO6czwj2bfu7dyvJtWpfkYXbW4dKe8rHAg2nRPsC4iFicBrm1EbGvpF7A/0h6iGTWvF2B3UkmbloA3Nyk3qEk800cktY1KCJWSboeeC8irkrP+0/gZxHxlKQdgenA3wGXAU9FxI8k/T1wZgkf52vpNfoAz0i6NyLeIZnxb3ZEfFPSD9O6v06yoOs5EfGKpP1Intw7vB1fo+WAA7R1pD6SXkj3nwRuIkk9zIqIxWn5p4G9GvPLJPOFjCGZ4e3OiKgHlkn6UzP17w880VhXwYxuTR0J7F7w+PI26VwVhwCfS9/7+/QR+GIulNQ4BnlU2tZ3gAbgt2n5b4Bp6TUOJHm8vvH9vUq4huWUA7R1pPcjYnxhQRqo1hcWARdExPQm5x1XxnZ0A/ZPp81s2paSSZpEEuwPiIgNkh7jo7PFFYr0umuafgdmLXEO2rJmOnCupJ6QzKiWzpz3BHBSmqMeDhzWzHtnAodI2il976C0fB3Qv+C8h4ALGl9IGp/uPgF8KS07lmRBg9YMAFanwXk3kh58o25snj3uSySpk3eBxZK+kF5Dkj5R5BqWYw7QljU3kuSXn5M0D/g1yf/07gNeSY/dBvy56RsjYiUwhSSd8Bc2pxh+B5zQeJMQuBCYkN6EXMDm0ST/RBLg55OkOt4o0tYHgR6SFgI/IfkHotF6YGL6GQ4nWSkFkqk8z0zbNx+YXMJ3YjnlR73NzDLKPWgzs4xygDYzyygHaDOzjHKANjPLKAdoM7OMcoA2M8soB2gzs4z6/yywe4oe9OEeAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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SSOCjwEsFxYcBY9I2Cbi8WOOlrMXxW0kzyZYcFXBERDxVSs/NzHKpnVIcETFd0ugmDv0COBu4vaBsIjAlIgKYIWmgpGERsbi59ktZsH8UsBr4U2FZRLzU/LvMzHKstAA9RNKjBa8nR8TkYm+SNBFYFBH/lja42DgcWFDwemEqa3uABv7MOw+P7QNsBzwD7FrCe83McqfEHHNNRIxvVbtSP+A7ZOmNTVZKimODFYBSYvuUZqqbmVWz7ckGsQ2j5xHAY+nekUVs+LCTEamsWaVcJNxAWmZ0r9a+z8wsNzrokVcRMTsitoqI0RExmiyNsUdELAHuAL6YZnPsDaxsKf8MpeWgzyx42Q3YA3i5bd03MyuzaL+1OCTdSPZQ7SGSFgLnRcTVzVT/C3A4MI/sut4JxdovJQe9ecF+LVlO+o8lvM/MLJ/abxbHsUWOjy7YD+DU1rTfYoBON6hsHhHfbE2jZmZ5JfKz1kYxLT3yqkdE1Er6UGd2yMysw1V6gAYeJss3PyHpDuAW4M2GgxExtYP7ZmbW/nK0Wl0xpeSg+wDLyJ5B2DAfOgAHaDOrTBWymlBLAXqrNINjDu8E5gYV8u+PmdnGusIIujvQnw0Dc4MK+XhmZk2okAjWUoBeHBE/7LSemJl1hi7yVO98PFLAzKyddYUUx0Gd1gszs85U6QE6Il7rzI6YmXWW9rrVu6OVMs3OzKzr6CI5aDOzLkdUzgU2B2gzqz4eQZuZ5VNXmMVhZtY1OUCbmeVQOy7Y39EcoM2s+ngEbWaWT85Bm5nllQO0mVk+eQRtZpZHQZdYsN/MrMvpEg+NNTPrsiokQHcrdwfMzDqbIopuJbUjXSNpqaQ5BWUXSXpa0ixJt0oaWHDs25LmSXpG0iHF2neANrPqEiVupbkWOLRR2TRgbETsBjwLfBtA0i7AMcCu6T2XSereUuMO0GZWdRTFt1JExHTgtUZld0dEbXo5AxiR9icCN0XE2oiYD8wD9mypfQdoM6s6qi++AUMkPVqwTWrDqb4E/DXtDwcWFBxbmMqa5YuEZlZ9Shsh10TE+LaeQtJ3gVrgt21twwHazKpLK1IYbSXpeODjwEERb19xXASMLKg2IpU1yykOM6s+7XeRcCOSDgXOBj4ZEasLDt0BHCOpt6TtgDHAwy215RG0mVWV9rxRRdKNwP5k+eqFwHlkszZ6A9MkAcyIiJMjYq6km4EnyVIfp0ZEXUvtO0CbWdVRfftE6Ig4toniq1uofwFwQantO0CbWXXxU72tEo3Y/i2+c8WLb7/eZtQ6rr9oG/79z/6cduFC+m5WzysLe/HjU0exelWL8+utAy1d1JOLzhjFild7goLDP7+MI79cw/Q/DeD6n23Dguf6cPFfnmXH3dcAsGRBL77y4Z0Y8e61AOz0/jc548cLy/kRys5PVLGKs/A/fTjlI+8BoFu34LePPck//jqA7135Alf+8F3MntGfjx6zjKO+upQpFw0rc2+rV/cewaRzX2bMbmtYvaobXzt0R/bY7w1G7/QW5171AhefM3Kj9wzbdi2X3/NMGXqbUxUygvYsDmvSuAmrWPxiL5Yu6sWId69l9ozNAHh8+ubs+7GVZe5dddty61rG7JaNjvv1r2fkDmupWdyTUWPWMnKHtWXuXWVorzsJO5oDtDVp/4nLuf+2QQC8+GwfPnjo6wBM+PhKhr5rfTm7ZgWWLOjFf+b0Zac9Vrdc76VenPKRHfnmp3Zg9kObdVLvciqAiOJbDnRYgJY0WtJTkq6UNFfS3ZL6ShonaUbBSk+DUv37Jf1Y0sOSnpU0oYW2u0v6qaQ5qZ3TUvm5kh5J5ZOV5rg017akPpJ+I2m2pMclHZDKj5c0VdKdkp6T9JNm+jGp4TbQ9XSdkUuPnvXs/dHXmf6nAQD8/MyRfOK4Gi6981n69q+jdp3K3EMDWPNmN/7ny6M5+YeL2Gzz5pOqg7dazw2PPMll057lpPMXceEp2/LmG9U9NivxVu+y6+hfaQzwq4jYFVgBfBqYApyTVnqaTTZvsEGPiNgT+Hqj8sYmAaOBcamdhlspL42ID0TEWKAv2Z08LbV9KhAR8V7gWOA6SX3SsXHA0cB7gaMlbZTYi4jJETE+Isb3pHeRr6JyfODAN5g3uy8ranoCsGBeH75z7PZ87dAduf+2QSx+sVeZe2i16+F/vjyaAz+1nH0Pbznl1Kt3sMXgbLrtmN3W8K7R61j0fNf532trNcyDdooD5kfEE2l/JrA9MDAiHkhl1wH7FdSfWlB3dAvtHgz8umHFqIhoWE3qAEkPSZoNHEi2rF9Lbe8L3JDaeBp4EdgxHbs3IlZGxFtkE8u3LfZhu4r9j1jxdnoDYMCWWUpDCj57xiv8/+u3LFfXjOyv75+fNYqRY9by6ZNeLVp/xbLu1KXbIRa/2ItF83uxzah1HdzLHCslvZGTFEdHz+Io/Lu/DhhYYv06Wtm3NPK9DBgfEQsknQ/0KajS2rYb970qZrz07lvHHhPe4Jdnj3i77IAjVvCJ42sA+MdfB3D3TYPL1T0D5j68Gff+YTDb7byGrx6czbo54dsvs35dNy773nBWLuvB97/wbrbfdQ0/uvF5Zs/oz5SLtqFHj2x2zukXLmSLQS3ewNbl5WWEXExnB52VwHJJEyLiQeALwANF3tOUacBJkv4WEbWSBvPOYyBrJPUHjgL+UKSdB4HPAfdJ2hEYBTwD7NGGPnUJa9d05zNjx25QdtvVQ7nt6qFl6pE1NnavN7nr5SeaPPahwzZOd0z42EomeObNhhygm3UccIWkfsDzwAltaOMqslTELEnrgSsj4lJJVwJzgCXAIyW0cxlweUqJ1ALHR8TadG3RzLqoShlBK3KSa6l0W2hw7KWDyt0Na4XmRqGWX92HzZu5KWs0A2w+YETs8aHTi9ab/tdzNvlcm6oq8qpmZoUqZQSd6wCdnnr740bF8yPiyHL0x8y6iArJHOQ6QEfEXcBd5e6HmXUtHkGbmeWRlxs1M8snAaqrjAjtAG1mVUfOQZuZ5ZBTHGZmeZWftTaKcYA2s6rjWRxmZnnlEbSZWQ5F5cziqO7HKphZdYoSthJIukbSUklzCsoGS5qWnsY0reCpUZJ0saR56UlQRVfNdIA2s6qjiKJbia4FDm1U9i2yB36MAe5NrwEOI3vK1Biyp0JdXqxxB2gzqz7t9ESViJgOvNaoeCLZ06JI/z2ioHxKZGYAAyUNa6l9B2gzqy5B9niPYhsMaXgodNomlXiGrSNicdpfAmyd9ocDCwrqLUxlzfJFQjOrKqLkFEbNpq4HHREhtX1SnwO0mVWf+vriddruFUnDImJxSmEsTeWLgJEF9UaksmY5xWFm1aX0FEdb3UH2aD/Sf28vKP9ims2xN7CyIBXSJI+gzazqtNdiSZJuBPYny1cvBM4DLgRulnQi8CLwX6n6X4DDgXnAakp4HqsDtJlVn3YK0BFxbDOHNnpAaWQPgD21Ne07QJtZlfFiSWZm+RRAhdzq7QBtZlXHC/abmeWVA7SZWQ4FUO8AbWaWQ75IaGaWXw7QZmY5FEBdh97q3W4coM2sygSEA7SZWT45xWFmlkOexWFmlmMeQZuZ5ZQDtJlZDkVAXV25e1ESB2gzqz4eQZuZ5ZQDtJlZHoVncZiZ5VJA+EYVM7Oc8q3eZmY5FAH1DtBmZvnki4RmZvkUHkGbmeVR5SzY363cHTAz61QNiyUV20og6RuS5kqaI+lGSX0kbSfpIUnzJP1eUq+2dtUB2syqSgBRV1d0K0bScOB0YHxEjAW6A8cAPwZ+ERE7AMuBE9vaVwdoM6sukRbsL7aVpgfQV1IPoB+wGDgQ+EM6fh1wRFu76gBtZlUn6qPoBgyR9GjBNmmDNiIWAT8FXiILzCuBmcCKiKhN1RYCw9vaT18kNLPqU9oIuSYixjd3UNIgYCKwHbACuAU4tD2618ABup28wfKae+IPL5a7Hx1kCFBT7k60t+7Dyt2DDtMlf69k201t4A2W33VP/GFICVWLfYcHA/Mj4lUASVOBDwEDJfVIo+gRwKK29tUBup1ExNBy96GjSHq0pZGE5Yt/r5ZFRHuNcl8C9pbUD1gDHAQ8CvwNOAq4CTgOuL2tJ3AO2sysDSLiIbKLgY8Bs8ni6WTgHOBMSfOALYGr23oORYVM2Lby8Yissvj36jo8grZSTC53B6xV/Ht1ER5Bm5nllEfQZmY55QBtZpZTDtBmZjnlAG1mllMO0FVE0hclzZL0b0nXS/pEWhbxcUn3SNo61Ttf0jWS7pf0vKTTC9o4My2tOEfS11PZaElPSboyLb14t6S+ZfqYudXc9yRpnKQZ6be5Nd1CTPr+fyzpYUnPSprQQtvdJf00/S6zJJ2Wys+V9EgqnyxJLbWdlsv8jaTZ6X8XB6Ty4yVNlXSnpOck/aTjvzEjIrxVwQbsCjwLDEmvBwODeGcmz5eBn6X984F/Ar3JbhteBvQE3k82IX8zoD8wF3gfMBqoBcal998MfL7cnzlvW3PfEzAL+HAq+yHwv2n//oLf5HDgnhba/irZTRM9Gn7fwv+m/euBT7TUNnAWcE3a34nsbrk+wPHA88CA9PpFYGS5v9OuvnkEXT0OBG6JiBqAiHiNbJ2AuyTNBv6bLIg3+HNErE31lwJbA/sCt0bEmxGxCpgKNIzq5kfEE2l/Jlkwso01/p62BwZGxAOp7Dpgv4L6Uwvqjm6h3YOBX0daRS39vgAHpL+SZpP9b6DwN26q7X2BG1IbT5MF4h3TsXsjYmVEvAU8STusi2Etc4CubpcAl0bEe4GTyEZGDdYW7NdRfN2W1tavVo2/p4El1m/1dyqpD3AZcFT6ja+k6d+41Lb9G3cyB+jqcR/wGUlbAkgaTPbnasNKW8eV0MaDwBGS+knaDDgylVnbrQSWF+SXvwA80EL95kwDTkoLxzf8vg3BuEZSf7IFfIp5EPhcamNHYBTwTBv6Y+3A/wJWiYiYK+kC4AFJdcDjZLnmWyQtJwvg2xVp4zFJ1wIPp6KrIuJxSaM7rOPV4TjgirQq2vPACW1o4yqyVMQsSeuBKyPiUklXAnOAJcAjJbRzGXB5SonUAsdHxNp0bdE6mW/1NjPLKac4zMxyyikOswoi6RCyp0YXmh8RR5ajP9axnOIwM8sppzjMzHLKAdrMLKccoK3TSKqT9ERaF+KWNK2srW1dK+motH+VpF1aqLu/pH3acI4XJG309OfmyhvVWdXKc50v6Zut7aN1bQ7Q1pnWRMS4iBgLrANOLjzYcJNFa0XElyPiyRaq7A+0OkCblZsDtJXLg8AOaXT7oKQ7gCfTqmwXpRXYZkk6CUCZSyU9I+keYKuGhtLKbOPT/qGSHlO2Yt+96Saak4FvpNH7BElDJf0xneMRSR9K790yrTA3V9JVQNG7MyTdJmlmes+kRsd+kcrvlTQ0lW2fVoSbmT73Tu3ybVqX5Gl21unSSPkw4M5UtAcwNiLmpyC3MiI+IKk38A9Jd5OtmvceYBeyhZueBK5p1O5QsvUm9kttDY6I1yRdAayKiJ+mer8DfhERf5c0CrgL2Bk4D/h7RPxQ0seAE0v4OF9K5+gLPCLpjxGxjGzFv0cj4huSzk1tf43sga4nR8RzkvYiu3PvwDZ8jVYFHKCtM/WV9ETafxC4miz18HBEzE/lHwV2a8gvk60XMoZshbcbI6IOeFnSfU20vzcwvaGtghXdGjsY2KXg9uUt0loV+wGfSu/9c7oFvpjTJTXMQR6Z+roMqAd+n8pvAKamc+xDdnt9w/t7l3AOq1IO0NaZ1kTEuMKCFKjeLCwCTouIuxrVO7wd+9EN2Dstm9m4LyWTtD9ZsP9gRKyWdD8brhZXKNJ5VzT+Dsya4xy05c1dwFcl9YRsRbW0ct504OiUox4GHNDEe2cA+0naLr13cCp/A9i8oN7dwGkNLySNS7vTgc+mssPIHmjQkgHA8hScdyIbwTfoxjurx32WLHXyOjBf0mfSOSRp9yLnsCrmAG15cxVZfvkxSXOAX5P9pXcr8Fw6NgX4V+M3RsSrwCSydMK/eSfF8CfgyIaLhMDpwPh0EfJJ3plN8gOyAD+XLNXxUpG+3gn0kPQUcCHZPxAN3gT2TJ/hQLInpUC2lOeJqX9zgYklfCdWpXyrt5lZTnkEbWaWUw7QZmY55QBtZpZTDtBmZjnlAG1mllMO0GZmOeUAbWaWU/8HLfmfx7qK4ZgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pipe, res, all_bas = N_canonizer_sizeopti(df_unibi_gram_novel, N_sample=100, ratio=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "81ee359d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>precision</th>\n",
       "      <th>recall</th>\n",
       "      <th>f1-score</th>\n",
       "      <th>support</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>accuracy</th>\n",
       "      <td>0.701383</td>\n",
       "      <td>0.701383</td>\n",
       "      <td>0.701383</td>\n",
       "      <td>0.701383</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>canon</th>\n",
       "      <td>0.728222</td>\n",
       "      <td>0.661895</td>\n",
       "      <td>0.693303</td>\n",
       "      <td>306.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>non_canon</th>\n",
       "      <td>0.678521</td>\n",
       "      <td>0.742483</td>\n",
       "      <td>0.708929</td>\n",
       "      <td>294.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           precision    recall  f1-score     support\n",
       "accuracy    0.701383  0.701383  0.701383    0.701383\n",
       "canon       0.728222  0.661895  0.693303  306.000000\n",
       "non_canon   0.678521  0.742483  0.708929  294.000000"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "50d078eb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.7021892090169402"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum(all_bas)/len(all_bas)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "fdd3b21c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\\begin{tabular}{lrrrr}\n",
      "\\toprule\n",
      " & precision & recall & f1-score & support \\\\\n",
      "\\midrule\n",
      "accuracy & 0.701 & 0.701 & 0.701 & 0.701 \\\\\n",
      "canon & 0.728 & 0.662 & 0.693 & 306.000 \\\\\n",
      "non_canon & 0.679 & 0.742 & 0.709 & 294.000 \\\\\n",
      "\\bottomrule\n",
      "\\end{tabular}\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(res.to_latex(float_format=\"%.3f\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 342,
   "id": "0f3d4648",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>precision</th>\n",
       "      <th>recall</th>\n",
       "      <th>f1-score</th>\n",
       "      <th>support</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>accuracy</th>\n",
       "      <td>0.708824</td>\n",
       "      <td>0.708824</td>\n",
       "      <td>0.708824</td>\n",
       "      <td>0.708824</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>canon</th>\n",
       "      <td>0.696100</td>\n",
       "      <td>0.626797</td>\n",
       "      <td>0.659355</td>\n",
       "      <td>306.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>non_canon</th>\n",
       "      <td>0.717851</td>\n",
       "      <td>0.775936</td>\n",
       "      <td>0.745619</td>\n",
       "      <td>374.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           precision    recall  f1-score     support\n",
       "accuracy    0.708824  0.708824  0.708824    0.708824\n",
       "canon       0.696100  0.626797  0.659355  306.000000\n",
       "non_canon   0.717851  0.775936  0.745619  374.000000"
      ]
     },
     "execution_count": 342,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "3db85703",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>precision</th>\n",
       "      <th>recall</th>\n",
       "      <th>f1-score</th>\n",
       "      <th>support</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>accuracy</th>\n",
       "      <td>0.701383</td>\n",
       "      <td>0.701383</td>\n",
       "      <td>0.701383</td>\n",
       "      <td>0.701383</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>canon</th>\n",
       "      <td>0.728222</td>\n",
       "      <td>0.661895</td>\n",
       "      <td>0.693303</td>\n",
       "      <td>306.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>non_canon</th>\n",
       "      <td>0.678521</td>\n",
       "      <td>0.742483</td>\n",
       "      <td>0.708929</td>\n",
       "      <td>294.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           precision    recall  f1-score     support\n",
       "accuracy    0.701383  0.701383  0.701383    0.701383\n",
       "canon       0.728222  0.661895  0.693303  306.000000\n",
       "non_canon   0.678521  0.742483  0.708929  294.000000"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "58d88aa2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['pipes/pipeline_novel_scale.pkl']"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "joblib.dump(pipe, 'pipes/pipeline_novel_scale.pkl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "9ac3832e",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "53da136c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6389555822328932\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pipe, df_scores, bas, df_coefs = GKF_canonized(df_sizeopti_novel, kernel='linear')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "0c42f95a",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_coefs.to_csv('../outputs/outputs_SVM_GFK/coefs_novel_scale.csv', header=True, index=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "abb0cd51",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>le</th>\n",
       "      <th>de</th>\n",
       "      <th>un</th>\n",
       "      <th>et</th>\n",
       "      <th>il</th>\n",
       "      <th>avoir</th>\n",
       "      <th>à</th>\n",
       "      <th>lui</th>\n",
       "      <th>être</th>\n",
       "      <th>son</th>\n",
       "      <th>...</th>\n",
       "      <th>ni_le</th>\n",
       "      <th>l’_argent</th>\n",
       "      <th>faire_pour</th>\n",
       "      <th>le_vérité</th>\n",
       "      <th>mais_à</th>\n",
       "      <th>ça_ne</th>\n",
       "      <th>le_feu</th>\n",
       "      <th>avoir_je</th>\n",
       "      <th>j’_aller</th>\n",
       "      <th>le_nature</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.005352</td>\n",
       "      <td>0.01855</td>\n",
       "      <td>0.002772</td>\n",
       "      <td>-0.002875</td>\n",
       "      <td>-0.00476</td>\n",
       "      <td>-0.00114</td>\n",
       "      <td>-0.006477</td>\n",
       "      <td>-0.004449</td>\n",
       "      <td>-0.004548</td>\n",
       "      <td>-0.000332</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.025049</td>\n",
       "      <td>-0.006159</td>\n",
       "      <td>-0.024898</td>\n",
       "      <td>0.007807</td>\n",
       "      <td>-0.001225</td>\n",
       "      <td>0.010229</td>\n",
       "      <td>-0.001443</td>\n",
       "      <td>0.003244</td>\n",
       "      <td>0.013834</td>\n",
       "      <td>-0.02202</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1 rows × 2000 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "         le       de        un        et       il    avoir        à  \\\n",
       "0  0.005352  0.01855  0.002772 -0.002875 -0.00476 -0.00114 -0.006477   \n",
       "\n",
       "        lui      être       son  ...     ni_le  l’_argent  faire_pour  \\\n",
       "0 -0.004449 -0.004548 -0.000332  ... -0.025049  -0.006159   -0.024898   \n",
       "\n",
       "   le_vérité   mais_à    ça_ne    le_feu  avoir_je  j’_aller  le_nature  \n",
       "0     0.007807 -0.001225  0.010229 -0.001443  0.003244  0.013834   -0.02202  \n",
       "\n",
       "[1 rows x 2000 columns]"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_coefs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "432530a3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['canon', 'non_canon'], dtype=object)"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pipe.classes_"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ec20483f",
   "metadata": {},
   "source": [
    "### TRY SCOLAIRE/NON-SCOLAIRE CANON"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "eb032996",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_unibi_gram_scolaire = pd.read_csv('meta_data/uni_bi_gram_scolaire.csv')\n",
    "df_unibi_gram_scolaire.set_index(\"index\", inplace = True)\n",
    "df_unibi_gram_scolaire = df_unigram_scolaire.replace(np.nan, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "10ebc502",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "714\n"
     ]
    }
   ],
   "source": [
    "df_unibi_gram_scolaire = get_df_with_authors(df_unibi_gram_scolaire)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "63fa954c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c4024269b5ea4eee86548535cf1ab767",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/10 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5720306513409962\n",
      "0.6139208173690933\n",
      "0.6375478927203064\n",
      "0.6282247765006386\n",
      "0.6634738186462323\n",
      "0.5985951468710089\n",
      "0.683397190293742\n",
      "0.6515964240102171\n",
      "0.5988505747126436\n",
      "0.657471264367816\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pipe, res, all_bas = N_canonizer_sizeopti(df_unibi_gram_scolaire, N_sample=10, ratio=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "9440b9d5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>precision</th>\n",
       "      <th>recall</th>\n",
       "      <th>f1-score</th>\n",
       "      <th>support</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>accuracy</th>\n",
       "      <td>0.628214</td>\n",
       "      <td>0.628214</td>\n",
       "      <td>0.628214</td>\n",
       "      <td>0.628214</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>canon</th>\n",
       "      <td>0.664705</td>\n",
       "      <td>0.566207</td>\n",
       "      <td>0.610804</td>\n",
       "      <td>145.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>non_canon</th>\n",
       "      <td>0.600063</td>\n",
       "      <td>0.694815</td>\n",
       "      <td>0.643499</td>\n",
       "      <td>135.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           precision    recall  f1-score     support\n",
       "accuracy    0.628214  0.628214  0.628214    0.628214\n",
       "canon       0.664705  0.566207  0.610804  145.000000\n",
       "non_canon   0.600063  0.694815  0.643499  135.000000"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "3a60e83e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6305108556832694"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum(all_bas)/len(all_bas)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "aa7fbbc7",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8e910bd2",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "d23f32ff",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_unibi_gram_non_scolaire = pd.read_csv('meta_data/uni_bi_gram_non_scolaire.csv')\n",
    "df_unibi_gram_non_scolaire.set_index(\"index\", inplace = True)\n",
    "df_unibi_gram_non_scolaire = df_unibi_gram_non_scolaire.replace(np.nan, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "6e715fa5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "714\n"
     ]
    }
   ],
   "source": [
    "df_unibi_gram_non_scolaire = get_df_with_authors(df_unibi_gram_non_scolaire)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "6f02c6a4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "fbc74e531f924d36bf0c923c36dc2aa7",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/10 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.7119307400379506\n",
      "0.717741935483871\n",
      "0.7363614800759013\n",
      "0.6820445920303606\n",
      "0.6860768500948766\n",
      "0.7084914611005693\n",
      "0.7051707779886148\n",
      "0.7191650853889944\n",
      "0.6967504743833017\n",
      "0.728296963946869\n"
     ]
    },
    {
     "data": {
      "image/png": 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FtiwoZS6OX0qaQfLoooAxEfFC1SMzM6uWOmlBlzJh/27AO8B9hWURsbCagZmZVU1HSdAkK3i3Lh7bAOwBzAX2rWJcZmZVUy990KV0cexfeJzOcvflzZxuZmYVssVPEkbETEkfqUYwZmbbREdpQUu6qOCwE3Ag8GbVIjIzq6bIziiNYkppQW9fsN9E0if9m+qEY2a2DXSEFnT6gEqviPjGNorHzKyqRAe4SSipS0Q0tbf0lZlZXar3BE2ycveBwDOS7gXuBFa3vhkRk6ocm5lZ5VVwtjpJvYEbgf2SmvkXkmHIdwBDgAXAaRGxvJz6S3nUuy+wlGQNwhOBk9JXM7P61FLCVpqfAA9ExN7AMOAFYBwwJSKGAlPS47K014IemI7geI71D6q0qpM/EMzMNlWJFrSkHYAjgbMAIuJ94H1Jo4Gj09MmAFOBfy/nGu0l6M5ALzZMzK2coM2sfpWWwfpLml5wPD4ixhcc70ky5PgWScOAGcCFwKCIWAQQEYskDSw3zPYS9KKIuLzcis3MMqn0Vb0bI2JEO+93IblPd35EPCnpJ2xFd0Zb2uuDzsaSAmZmFVahJa9eA16LiCfT47tIEvZiSYMB0tcl5cbZXoIeWW6lZmaZFiVsxaqI+DvwqqQPpkUjgTnAvcDYtGwscE+5YW62iyMilpVbqZlZllXwUe/zgV+mywC+DHyBpOE7UdLZwELg1HIr3+LJkszM6lrpfdDFq4p4Bmirn7oiPRBO0GaWK6J+brA5QZtZ/tTJQGEnaDPLnbqfLMnMrMNygjYzy6AONmG/mVnH4ha0mVk2uQ/azCyrnKDNzLLJLWgzsywKtmRC/ppygjazXOkQi8aamXVYTtBmZtmkqI8M7QRtZvlSwdnsqs0J2sxyx33QZmYZ5Ue9zcyyyi1oM7MMKn1R2Jpzgjaz/HGCNjPLnko+qCJpAfA20Aw0RcQISX2BO4AhwALgtIhYXk79nSoTpplZ/VBLFN22wDERMTwiWhePHQdMiYihwJT0uCxO0GaWL1HiVr7RwIR0fwIwptyK3MVhm+ikFq67/F6WLu/Jt354PJ8/eSafPPol3nq7AYCb7vww057dtcZRGkDn19fQ+79eX3+8eC2rPjOA9/fvwQ7X/x2920LzwK6suGgnokfnGkaaLSUOs+svaXrB8fiIGL/ROQE8KCmAn6fvD4qIRQARsUjSwHLjdIK2TXxq1BwWvtGbnt3Xriu7a/K+3Pn7/WsYlbWleeduLP3xnulBMODsebx3yPb0+f5rrDxrIGv360n3h9+i591LWXVG2Xmi4ymthdxY0G2xOR+NiDfSJPyQpBe3OrYC7uKwDfTvs5qDh7/K7x/5QK1DsS203azVNP/DdrQM7Ern199n7b49AFgzrCcNf3m7xtFli6L4VoqIeCN9XQLcDRwELJY0GCB9XVJunE7QtoHzPvck42//CNGiDcrHHPcCN1xxN//2xcfo1WNNjaKz9jQ8vpL3jtgBgKbdutFt2qqk/H9W0qmxqZahZUsAEcW3IiT1lLR96z7wMeA54F5gbHraWOCeckOtWoKWNETSC5JukPS8pAcldZc0XNITkmZJultSn/T8qZKukjRN0kuSjmin7s6SrpY0O63n/LT8EklPSXpO0nhJaq9uSQ2SbknreVrSMWn5WZImSXpA0jxJ399MHOdImi5p+tq1qyv9FW5zhwxfyPKVDcxb0H+D8vumfIgzv34K53x7DMve6s65n51Wowhts9YGDdNW8d5HkwS94vzB9Pj9cvpdNB+92wJdVaSCfFFL8a0Eg4DHJT0LTAPuj4gHgCuB4yXNA45Pj8tS7T7oocBnIuJLkiYC/wxcDJwfEY9Iuhy4FPhqazwRcZCkE9Ly4zZT7znAHsABEdGUjjsEuDYiLgeQdBtwInBfO3WfBxAR+0vam6Szv/Vv++HAAcAaYK6kayLi1cIg0hsC4wG232GXOhn6vnn7fmAJhx24kIOHvcZ2XZvp0f19vnnuI3zv+qPWnXP/1A9yxdcfqmGU1pZuM1exds8GWnon/5du3qUby7+zG5DcSOw2Y1Utw8uUSo2DjoiXgWFtlC8FRm79FaqfoOdHxDPp/gxgL6B3RDySlk0A7iw4f1LBuUPaqfc44PqIaAKIiGVp+TGSLgZ6AH2B51mfoNuq+3DgmrSOFyW9ArQm6CkRsQJA0hxgd2CDBN3R3DRxBDdNTO6JDNt7Eaed8Bzfu/4o+u74DstWJP2Zh494hQWv9allmNaGhsdW8t6RO6w77vRWU5KsW4Jedy7l3VH+zdYpsQsjC6qdoAs7K5uB3iWe30z7sYmN7sNKagCuA0ZExKuSLgMaitTd3t99G8ee2xEv55z+FHvtvgwC/t7Yix/d/NFah2SF1rTQ7dnVrPzKP6wranhsJT3+kDy89t4h2/PuyB1rFV0meS6Otq0Alks6IiIeA84EHinymbY8CJwraWpBF0drr1GjpF7AKcBdRep5FDgD+GPatbEbMBc4sIyYOpRnXxzMsy8OBuDKnx9V5GyrqW6dWHLbhqNu3jmpL++c1HczHzDPxbF5Y4HrJfUAXga+UEYdN5J0RcyStBa4ISKulXQDMJvk+fenSqjnujSW2UATcFZErEnvLZpZB5X7FnRELAD2Kzi+uuDtQ9o4/+iC/Uba6YNO+54vSrfC8m8D3y617oh4DzirjfNvBW4tOD5xc7GYWZ0JoLk+MnRu+1XNLL9y34KuBEmjgKs2Kp4fESfXIh4z6yA8imPrRcRkYHKt4zCzjsUtaDOzLNr66US3GSdoM8sVAfJNQjOzbJL7oM3MMshdHGZmWeW5OMzMMsujOMzMssotaDOzDAqP4jAzy676yM9O0GaWPx5mZ2aWVXWSoL2qt5nlS5As71FsK1G6iPXTkn6XHveV9FC64PRDrQtjl8MJ2sxyRQSK4tsWuBB4oeB4HMmapkOBKelxWZygzSx/WlqKbyWQtAvwSZJVnlqNJlkQm/R1TLlhug/azPKltYujuP6Sphccj4+I8Rud82PgYmD7grJBEbEIICIWSRpYbqhO0GaWOyV2YTRGxIjN1iGdCCyJiBmSjq5QaBtwgjaz/KnMKI6PAv8k6QSgAdhB0i+AxZIGp63nwcCSci/gPmgzy5l0sqRiW7FaIr4ZEbtExBDgdOCPEfE54F5gbHraWOCeciN1C9rM8qX6q3pfCUyUdDawEDi13IqcoM0sdyr9JGFETAWmpvtLgZGVqNcJ2szyp06eJHSCNrN8CaDFCdrMLIO8ooqZWXY5QZuZZVAAzVswG1INOUGbWc4EhBO0mVk2uYvDzCyDPIrDzCzD3II2M8soJ2gzswyKgObmWkdREidoM8sft6DNzDLKCdrMLIvCozjMzDIpIPygiplZRvlRbzOzDIqAFidoM7Ns8k1CM7NsijppQXtVbzPLmcqs6i2pQdI0Sc9Kel7Sd9LyvpIekjQvfe1TbqRO0GaWL62TJRXbilsDHBsRw4DhwMclHQKMA6ZExFBgSnpcFidoM8uVAKK5uehWtJ7EqvSwa7oFMBqYkJZPAMaUG6sTtJnlS6QT9hfboL+k6QXbORtXJamzpGeAJcBDEfEkMCgiFiWXikXAwHJD9U1CM8udKK0LozEiRrRbT0QzMFxSb+BuSftVILx13II2s/wprQVdenURbwFTgY8DiyUNBkhfl5QbpqJOxgNmnaQ3gVdqHUeV9Acaax2Elawj/167R8SAralA0gMk31ExjRHx8XbqGQCsjYi3JHUHHgSuAo4ClkbElZLGAX0j4uKyYnWCtmIkTS/2p55lh3+vbUPSP5LcBOxM0hsxMSIul9QPmAjsBiwETo2IZeVcw33QZmZliIhZwAFtlC8FRlbiGu6DNjPLKCdoK8X4WgdgW8S/VwfhPmgzs4xyC9rMLKOcoM3MMsoJ2swso5ygzcwyygk6RyR9XtKsdP7a2ySdJOlJSU9LeljSoPS8yyTdLGmqpJclXVBQx0WSnku3r6ZlQyS9IOmGdF7cB9Mnq6zA5r4nScMlPZH+Nne3zh+cfv9XpXMOvyTpiHbq7izpakmz03rOT8svkfRU+nuNl6T26k7nOL4lredpScek5WdJmiTpgXSe4+9X/xszIsJbDjZgX2Au0D897gv0Yf1Ini8CP0j3LwP+B+hG8kjsUpKpFD8MzAZ6Ar2A50kG6g8BmoDh6ecnAp+r9b85a9vmvidgFnBUWnY58ON0f2rBb3IC8HA7dX8F+A3QpfX3LXxN928DTmqvbuDrwC3p/t4kT8I1AGcBLwM7psevALvW+jvt6Jtb0PlxLHBXRDQCRPLo6S7AZEmzgW+QJPFW90fEmvT8JcAg4HDg7ohYHck8uJOA1lbd/Ih4Jt2fQZKMbFMbf097Ab0j4pG0bAJwZMH5kwrOHdJOvccB10dEE6z7fQGOSf9Kmk3yv4HC37itug8nSeRExIskifgD6XtTImJFRLwHzAF2L/aPta3jBJ0fIplMvNA1wLURsT/wZZKWUas1BfvNJNMCqJ362zrfNrXx99S7xPOLfaeb/L6SGoDrgFPS3/gG2v6NC+v2b5whTtD5MQU4LZ3IBUl9Sf5cfT19f2wJdTwKjJHUQ1JP4GTgsWoEmyMrgOUF/ctnAo+0c/7mPAicK6kLrPt9W5Nxo6RewCkl1PMocEZaxwdIJvyZW0Y8VgH+L2BORMTzkq4AHpHUDDxN0td8p6TXgSeAPYrUMVPSrcC0tOjGiHha0pCqBZ4PY4HrJfUg6ef9Qhl13EjSFTFL0lrghoi4VtINJPcNFgBPlVDPdWkss0n6y8+KiDXpvUXbxvyot5lZRrmLw8wso9zFYVZHJI0iWbWj0PyIOLkW8Vh1uYvDzCyj3MVhZpZRTtBmZhnlBG3bjKRmSc+k80LcmQ4rK7euWyWdku7fKGmfds49WtJhZVxjgaRNVn/eXPlG56zawmtdJunftjRG69icoG1bejcihkfEfsD7wLmFb0rqXE6lEfHFiJjTzilHA1ucoM1qzQnaauUx4P+krds/SfoVMDudle2/0hnYZkn6MoAS10qaI+l+YGBrRenMbCPS/Y9Lmqlkxr4p6UM05wJfS1vvR0gaIOk36TWekvTR9LP90hnmnpb0c9p/7Ln12r+VNCOdne6cjd77QRrLFEkD0rK90hnhZkh6TNLeFfk2rUPyMDvb5tLHkT8BPJAWHQTsFxHz0yS3IiI+Iqkb8GdJD5LMmvdBYH+SiZvmADdvVO8Akvkmjkzr6hsRyyRdD6yKiKvT834F/CgiHpe0GzAZ+BBwKfB4RFwu6ZPABgl3M/4lvUZ34ClJv4mIpSQz/s2MiK9LuiSt+19JFnQ9NyLmSTqY5Mm9Y8v4Gi0HnKBtW+ou6Zl0/zHgJpKuh2kRMT8t/xjwj639yyTzhQwlmeHt1xHRDLwh6Y9t1H8I8GhrXQUzum3sOGCfgseXd5C0fXqNT6WfvV/S8hL+TRdIah2DvGsa61KgBbgjLf8FMCmdD+MwksfrWz/frYRrWE45Qdu29G5EDC8sSBPV6sIi4PyImLzReSew6Wx8G2trxr62dAIOjYh324il5AcDJB1NkuwPjYh3JE1lw9niCkV63bc2/g7MNsd90JY1k4GvSOoKyYxq6cx5jwKnp33Ug4Fj2vjsX4CjJO2RfrZvWv42sH3BeQ+SdDeQnjc83S2cye0TJAsatGdHYHmanPcmacG36sT62eM+S9J1shKYL+nU9BqSNKzINSzHnKAta24k6V+eKek54Ockf+ndDcwjmZntZ7QxJWdEvEnSbzxJ0rOs72K4Dzi59SYhcAEwIr0JOYf1o0m+AxwpaSZJV8vCIrE+AHSRNAv4T5IZAVutBvaVNIOkj/nytPwM4Ow0vueB0SV8J5ZTftTbzCyj3II2M8soJ2gzs4xygjYzyygnaDOzjHKCNjPLKCdoM7OMcoI2M8uo/wWFAfFt+eVWiwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pipe, res, all_bas = N_canonizer_sizeopti(df_unibi_gram_non_scolaire, N_sample=10, ratio=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "3a11ff6b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>precision</th>\n",
       "      <th>recall</th>\n",
       "      <th>f1-score</th>\n",
       "      <th>support</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>accuracy</th>\n",
       "      <td>0.708846</td>\n",
       "      <td>0.708846</td>\n",
       "      <td>0.708846</td>\n",
       "      <td>0.708846</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>canon</th>\n",
       "      <td>0.731760</td>\n",
       "      <td>0.701471</td>\n",
       "      <td>0.715530</td>\n",
       "      <td>136.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>non_canon</th>\n",
       "      <td>0.687749</td>\n",
       "      <td>0.716935</td>\n",
       "      <td>0.701146</td>\n",
       "      <td>124.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           precision    recall  f1-score     support\n",
       "accuracy    0.708846  0.708846  0.708846    0.708846\n",
       "canon       0.731760  0.701471  0.715530  136.000000\n",
       "non_canon   0.687749  0.716935  0.701146  124.000000"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "aa65710c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.709203036053131"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum(all_bas)/len(all_bas)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b719f299",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ef393694",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "b1038b1f",
   "metadata": {},
   "source": [
    "### BASELINES - \n",
    "\n",
    "- RANDOM BUT 60% non_canon, 40% canon (author scale)\n",
    "\n",
    "- RANDOM BUT 90% non_canon, 10% canon (novel scale)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 327,
   "id": "6588a70d",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_canon_random_author = df_unibi_gram_author.drop(['canon'], axis=1)\n",
    "df_canon_random_novel = df_unibi_gram_novel.drop(['canon'], axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 328,
   "id": "c30905a7",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_canon_random_author['canon'] = random.choices(['canon', 'non_canon'], weights = [1, 1.5], k = len(df_canon_random_author))\n",
    "df_canon_random_novel['canon'] = random.choices(['canon', 'non_canon'], weights = [1, 9], k = len(df_canon_random_novel))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 329,
   "id": "02bd391a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.4853260589194738\n"
     ]
    }
   ],
   "source": [
    "pipe_author, scores_author, bas = GKF_canonized(df_canon_random_author)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 345,
   "id": "168f300b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>precision</th>\n",
       "      <th>recall</th>\n",
       "      <th>f1-score</th>\n",
       "      <th>support</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>canon</th>\n",
       "      <td>0.364004</td>\n",
       "      <td>0.316067</td>\n",
       "      <td>0.338346</td>\n",
       "      <td>1139.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>non_canon</th>\n",
       "      <td>0.604769</td>\n",
       "      <td>0.654585</td>\n",
       "      <td>0.628692</td>\n",
       "      <td>1821.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>accuracy</th>\n",
       "      <td>0.524324</td>\n",
       "      <td>0.524324</td>\n",
       "      <td>0.524324</td>\n",
       "      <td>0.524324</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           precision    recall  f1-score      support\n",
       "canon       0.364004  0.316067  0.338346  1139.000000\n",
       "non_canon   0.604769  0.654585  0.628692  1821.000000\n",
       "accuracy    0.524324  0.524324  0.524324     0.524324"
      ]
     },
     "execution_count": 345,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scores_author"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1ddada56",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 346,
   "id": "00e4dbe6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "43f4b5de778a4725a3110390a2e90fa1",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/10 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.5033758145133855\n",
      "0.48691544762253686\n",
      "0.5241279145840421\n",
      "0.49931088024145365\n",
      "0.5133462434250124\n",
      "0.5014654698662758\n",
      "0.5481162606093912\n",
      "0.5208742225595129\n",
      "0.5195570442868483\n",
      "0.46883695775434187\n"
     ]
    }
   ],
   "source": [
    "pipe, scores, all_bas = N_canonizer_sizeopti(df_canon_random_novel, ratio=0.45)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 347,
   "id": "5a5fe29a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>precision</th>\n",
       "      <th>recall</th>\n",
       "      <th>f1-score</th>\n",
       "      <th>support</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>accuracy</th>\n",
       "      <td>0.511324</td>\n",
       "      <td>0.511324</td>\n",
       "      <td>0.511324</td>\n",
       "      <td>0.511324</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>canon</th>\n",
       "      <td>0.463004</td>\n",
       "      <td>0.478641</td>\n",
       "      <td>0.469901</td>\n",
       "      <td>309.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>non_canon</th>\n",
       "      <td>0.554062</td>\n",
       "      <td>0.538544</td>\n",
       "      <td>0.545455</td>\n",
       "      <td>371.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           precision    recall  f1-score     support\n",
       "accuracy    0.511324  0.511324  0.511324    0.511324\n",
       "canon       0.463004  0.478641  0.469901  309.000000\n",
       "non_canon   0.554062  0.538544  0.545455  371.000000"
      ]
     },
     "execution_count": 347,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "scores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 348,
   "id": "20ea7987",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.50859262554628"
      ]
     },
     "execution_count": 348,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sum(all_bas)/len(all_bas)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0a60bba8",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b20bfac9",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "c1491b5e",
   "metadata": {},
   "source": [
    "### TRY run 7 models, 1 each 30 years"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "dc181378",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_unibi_gram_author = df_main_author.iloc[:, 0:2000]\n",
    "df_unibi_gram_author['canon'] = df_main_author['canon']\n",
    "df_unibi_gram_author['auteur'] = df_main_author['auteur']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "c6e0907f",
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_date(df):\n",
    "    df_res = df.copy()\n",
    "    list_date = []\n",
    "    for elem in df_res.index:\n",
    "        list_date.append(int(str(elem)[:4]))\n",
    "    df_res['date'] = list_date\n",
    "    return df_res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "1fc13944",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_unibi_gram_author_dated = get_date(df_unibi_gram_author)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e5d6e54c",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "28f4c928",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_author_1810_1840 = df_unibi_gram_author_dated.loc[(df_unibi_gram_author_dated['date']>=1810) & (df_unibi_gram_author_dated['date']<1840)]\n",
    "df_author_1840_1870 = df_unibi_gram_author_dated.loc[(df_unibi_gram_author_dated['date']>=1840) & (df_unibi_gram_author_dated['date']<1870)]\n",
    "df_author_1870_1900 = df_unibi_gram_author_dated.loc[(df_unibi_gram_author_dated['date']>=1870) & (df_unibi_gram_author_dated['date']<1900)]\n",
    "df_author_1900_1930 = df_unibi_gram_author_dated.loc[(df_unibi_gram_author_dated['date']>=1900) & (df_unibi_gram_author_dated['date']<1930)]\n",
    "df_author_1930_1960 = df_unibi_gram_author_dated.loc[(df_unibi_gram_author_dated['date']>=1930) & (df_unibi_gram_author_dated['date']<1960)]\n",
    "df_author_1960_1990 = df_unibi_gram_author_dated.loc[(df_unibi_gram_author_dated['date']>=1960) & (df_unibi_gram_author_dated['date']<1990)]\n",
    "df_author_1990_2020 = df_unibi_gram_author_dated.loc[(df_unibi_gram_author_dated['date']>=1990) & (df_unibi_gram_author_dated['date']<2020)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "0aea36d3",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "fd409bc0",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6682098765432098\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pipe1, df_scores1, bas1 = GKF_canonized(df_author_1810_1840)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "7b063bc8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "canon\n",
       "non_canon    328\n",
       "canon        263\n",
       "Name: count, dtype: int64"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_author_1840_1870.canon.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "276b1fbe",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.48919016043772606\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pipe3, df_scores3, bas3 = GKF_canonized(df_author_1840_1870)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "db9449c8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6584660033167495\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pipe, df_scores, bas = GKF_canonized(df_author_1870_1900)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "8219f969",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.7530516078903176\n"
     ]
    },
    {
     "data": {
      "image/png": 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RaYq2SaAw4ETgPeBV4Ac5yk4FLkvb9voqlZnVAJOBzQgzIs0BjgAeM7Mt3X16rsZkDVbRisDp5kQNOsvM3o+2DSbMuD4duBgFLBGRVtVGCRRTgf7uPsfM9iDcopTNR+7+jzz17UMIeHu6+yQAM7sNeAc4A/hdroNz9awGk33dKoC+0fPc6NGRlfdeiYhIa2mDnpW7LyimvJl1BmrdfVGWIvsQFvC9J3aO2VHA+pWZdXT35dnqzxqs3H2DYhoqIiJtI1lgNuCCBQvqhg8fPjdXGXfv3QJN2glYCNRGo24XuPu1aWW2AKa6e3qofR44BNgIeCvbCSpvOUkRkYqXKODRZl4lDOPtDfyBMLn5NWZ2Ulq5gcCsDMentuVcaV5zA4qIlJsChwF79uw5r4V6Tlm5+27xn83s78CTwGlm9ld3T60w3xVYmqGKJbH9WRU7N+CGwLGEVMY+rN4zS7r7hsXUKSIiRSrh6ZTcvcHMLgP+CWwNPBjtWgx0znBIl9j+rAoOVma2GSFadgackEzxBtCPsPjidOCjQusTEZEmSFLYTb/tG9BmRs99Y9tmEYYC06W2fZKrwmKuWZ0FLAO+w8r09FHuPgg4FOhNuN9KRERaSZLCFl9s585XKjN8dmzbNGBLM0uPtFsB9YT7ubIqJliNAK51d2fl+5AAcPfrgAcIs6+LiEhrakzkf7QBM+sb3ewb39YFOAFYADwT23UHIYli91jZ/sAvgHtypa1DcdesehKG+iD0sAC6x/Y/BYwtoj4RESlSAkgU0G1qiXBlZqdG/xwaPY80sxHAXHe/EtgNOMXM7gBmEC4L7Q8MAQ539/pYdXcAzwITzWwcIWvwCEKnaUy+thQTrD4jXJvC3ReY2cKoQSl9gNoi6hMRkaZouzG+s9N+Pih6/gC4EngNeBsYCQwgZPu9BIx293/FD4wSL3YhLCV1NCH773ngd+6ecwgQigtW0wiTGaY8Dowys+cJkfEo4JUi6hMRkaZoo1nV3T3nidx9KmH5qELr+wo4OHoUpZhrVjcD/c0slQt/GlAHPAo8Qkiw+HOxDRARkSJV4UrBBfes3P1W4NbYzy/HFlxsAB5w9/ezHS8iIi2ksb0b0PaaNYOFu88ErmihtoiISCEqcHHFfDTdkohImSkkG7DS5FrP6m9NqC/p7r9vRntERCQfBatVHNCE+pKAgpWIiLSoXOtZafmQKpNY3kDvu6a1dzNaXIdDdgGoyNf2wCfT2rsJLS7RN9xH+lAlvrZeDS1Tj3pWIiJS8tpoOqVSomAlIlJOCr2PqsJ6XwpWIiJlRsOAIiJS+hSsRESk5ClYiYhIqdMwoIiIlD5lA+ZnZhsAOwBrAv/P3WeYWSfCWlefuvuyXMeLiEjzVGPPqqgbf83sAuBd4FrgLGBwtKsL8CZh1UcREWlNVbhESMHByswOBU4A/gLsRGzVZHefD9xLEYtwiYhI0ySS+R+Vppie1RHA3e5+DPByhv2vAtYSjRIRkRzUs8ppCPCfHPtnA/2b1xwREckn0Zj/UWmKCVZLgO459q8PzG1Wa0RERDIoJlg9T1jCfjVm1gUYCTzVEo0SEZEcNAyY00XA1mZ2E/DtaNtaZrYz8BiwDjCuZZsnIiLplGCRg7s/DBwO7AM8HG2+Cbgf+A7wB3d/psVbKCIiq6rCnlVRNwW7+7Vmdi/wC2ATQvr6u8Bt7v5xK7RPRETitERIYdz9U2B8K7RFREQKUInZfvlobkARkTJTidek8ik4WJnZlAKKJd19+2a0R0RE8lGwymkwq79FHYCBhESNL4CFLdQuERHJRsEqO3ffINN2M+sMHAccCPxfyzRLRESyqcZhwKJmXc/E3Ze6+1jgOeCS5jdJRERyqsLU9WYHq5gngZ1bsD4REcmgGucGbMlswG8AnVqwPhERyaQCe075FJMNuF6WXX0JKwcfTZh2SUREWlE1XrMqpmc1g+zxPAE4IWCJiEhrUrDK6SxWf4uSwJfAO8DD7l6BI6UiIiVGwSo7dx/Tiu0QEZECaRgwCzPrAbwCjHf3y1q1RSIiklM1BquCUtfdvR7oB9S3bnNERCSnQu6xqsB7rYq5z+pZYHhrNURERApUZYEKigtWJwH7mtmBZpZorQaJiEh2CQpbKbjSPqRzXrOK7q2a7e6LCVMpfQVcD1xoZtOBRWmHaNZ1EZHWVoE9p3zyJVj8D/gtcAsrZ13/MNq3Ziu2S0REsqjE6ZTyyResEtEj66zrIiLStqoxG1ArBYuIlBsFKxERKXkKVhltY2bFzHQxsRntERGRPNpiGNDMBgKjgK0Ity31AH7s7o9lKLsbMAb4JvA5cANwrruvSCvXG7gQ2BPoRlgH8Th3n5avPYUEoUOiRz4JQrxXsBIRaU1t07My4ETgPeBV4AcZC5n9FJgETAH+CGwGnA70j35OlasBJkf7xwFzgCOAx8xsS3efnqsxhQSrawk3BIuISAlINLZJtJoK9Hf3OWa2B3B3lnLjgJeBnd29AcDM5gMnm9kV7v5uVG4fQsDb090nReVuI0yEfgbwu1yNKSRYPeHuNxdQTkRE2kBbDAO6+4J8Zczsm4Shv0NTgSpyFXAKsDdwfrRtH+AT4J7YOWZHAetXZtbR3ZdnO5cSLEREyk2BwWrBggV1w4cPn5urjLv3bkZLtoieX0yr8xMz+yi2P1V2qrunt/55wqWmjYC3sp2omOmWRESkBBQy3VIbGRg9z8qwbxYwKK1stnKklV2NelYiIuWk0Ilqk9CzZ895zew55dM1el6aYd8SQsZfvGy2cvG6MsoZrNxdPS8RkRJTQtMtLY6eO2fY1yW2P1U2WznSyq5GwUhEpMyU0DBgaghvYIZ9AwkJFfGy2cqRVnY1ClYiIuUmmcz/aBvToudV1jo0s0HAOrH9qbJbZlhiaivCwr7v5TqRgpWISJkplZ6Vu78BvA0cYma1sV2HA43AnbFtdxCSKHZPbTCz/sAvgHtypa2DEiykAk3478ssWlhLY0OChoYES4HamgWcO/Et1lxnKZ991JmxR21M/Xz9+beHzz/uyEWj1mPu7I6QSLLLb+ew58FfcN1Zg3j2P73o2HUCAwf3ZvQFtfSoa2D5sgSX/2kd3n21G4kaOPysj/nOD+rb+2W0rzYKRmZ2avTPodHzSDMbAcx19yujbScA9wIPmdmtwKbAUcA17v5OrLo7CBNMTDSzccAXhBksaghTNeWknpVUpJN+PZSjdt2MUbtvCsCAvncy7ek6Dt5uc6Y9Xce+h+ccHpdWVNshySGnf8J1j7/N5f96l/sm9OeDdzoz7EcLuPbRt7nmxQNYZ+M+/HP8GgA88P/6AXDNFOf8f07n2jMH0Vg6CQbtItGY/9FCzo4ev45+Pij6+fhUAXf/F7AX0A8YH/37HODoeEXRTcO7ALdF+y4CZhPmG8w5BAjt3LMyszGEaTYGA2eysnt4F3Ckuy+KynUg3A29P7A28BEwATgvfte0mSWBy4EngLMIN5m9B4x29weLbFsNcAzhl7MRMJ8w6eJJUdcXMzue8IsxQormm8BYd78jra6C22Vmw4CxrJyH6yngRHd/pdj3TVbq1eM5Hr4zrBf68J39ufCWt/jbBeu1c6uqU781V9BvzTC/abcejay70VK+mNWRLbddOWHCJt8bxBP/7AjAh+90ZvMRoSfVu/8KetQ18M4r3dhki+r9M2+rbEB3T7++lK3cJML8gPnKfQUcHD2KUio9qzsJOfYnEaLuAYQP45TrCd3E54DjgBcIH/pXZ6jr/4ArgJuBPxHSIu80s35FtmkCcDFhteQTCN8CaoEtY2VGEebEOh34M7ACuN3MftaUdpnZt4D/EqYvGRs9vgU8YWZDV6sx//tWlZLJBOfe+DZX3PMaP93vcwA61M7jq9mdAPhqdkd69885PC5t5NOZnZj+elc2GbZq4Hnoxtf47nYheA3+1hKe/XcdDSvg0w878e6r3Zj9Scf2aG7pKJ0EizZTKoP2L7j7oakfog/w3wMnmtl3CD2qq9398KjIX8xsLnComY1391djdQ0Fhrr7/6K6HgVeAX4FXEkBzGx7YCRwibuPju26KC2TZYi7L44ddyXwEiGgTk6rtpB2nUMIiCPc/YOo3M2EC5jnEObZisv6vhXyOtN17dGFCx/8c1MOLSlfLZ/Dik79qK2dyx/OOINEz9nULEus8tq6dv91RbzWRN/57d2EJltcv4yzD7uVwy/Zih7rD/l6+80XTqe2Yx3bH3wFiUSCnxzRyIczH+eoXT9kzfV68c2tG6mt24tE343bsfVNlOiWv0wh1VReLMqrVHpW6T2kJ4B+ZtaLMMYJcElamUuj513Stj+UCggAUSCbTxgyK9ReQAOh97aK+LxWaYGqD1AXtX1YhjpztivKpNkJuCsVqKJyMwizHe+clm0Dud+3qrViReisNjT0Zn7996lpfINkoh8dar8EoEPtl6xoqGvPJla9FcsbOGu/e9luv6GM2GNloPr3xNd5bvIrnHTTH0gkwvfC2g41HH7Rj7n6+f058449WThvKets3Ke9ml4akgU8Kkyp9Kw+TPv5q+i5D7A+YXgtfa2T96Lt6+epK1VfMX/dg4GP3H1erkJmtitwKrA5q96ZnelPJV+7BhCue3mGcm8D+xHWh/ksR53x963or9yL65fwp5+cV+xhJaVz1wZqamDxwlo6d23gvIlvs2jxaHp024Jn7jyd268exC8O+4TX65L87YLyfq0AD7xffqv3JJNw8aj1WHeDBvYeOYlk+A7BC4/25LaL1mbclOPo0ul9kl/+FoAlixJAgi7dGpn6eA9qkmux3pr3f31cOUmsMRUSzf8uWY09q1IJVg1Zthd0ca8V68rKzLYhpGv+l5B+OQtYDhzIysyZ1m5Xm7zWctKn/3JOuzosn1Nbm+Sxe/sxbLdhLF6yEcNGTGHnfT/n8487c95RZTiEVCHeeL47j9zRl28MXczhOxgAB578CVedtg7LlyY46We3A7DJd9Zh1AUfMXdOR0751WASNdBvreX8afwHuaqvfMkC17OqsIBWKsEqlw8I7dwQeDe2fcNoe2v85U4HdjSz3u4+N0uZvQkTMO7s7l9PzmhmBzbxnLOBRYTMwnQGLCTclyA5fDqzC0f+bLNVtg3bDRoae3HybzPlqEhb23SrhTz0ybTVtn9v+7A6RKJvuJaY6lmtte4ybnjy7TZrX1mosEBUiFK5ZpXL/dHzMWnbR0XP6YkMLeFuQqLDaek7YgkWDYQ/mdrYvg2APZpywigF/9/AXmb2dU519O89Cde8svWkRKSKlMoMFm2p5HtW7v6Kmd0IHBElMTwJjCBk0d3g7q+1wjkfMbNbgOPMbAghiHQEfkxIEb+JECSPAx6MMvbWAI4kXEv7dhNPfSqwI/Ckmf012nY44drcqVmPEpHq0jbL2peUcuhZQbiBbAywNXBZ9Hw6cGj2Q5ptJOH+pSHAOEI6eBKYCuDuUwhp4mtFbfpVVObupp4wutn4R4SEilOix1vANu6edQVNEakyVZgNmEhW4M1j0iRz6+curNt70GHt3Y4Wl7qfqtwzHTMpx2zAfBJ9/wGsvGZVSRJrTCVR02se0LuJVcytr19St+svrshb8F+3H02PHl2ac66SUvLDgCIisqqCsgErTFUFq+im2gF5itW7e5VP6SwiJa36YlV1BStgXcJcf7mcSQHT1YuItJdEFV6+qbZg9Skh2y6X99uiISIiTVaFS6RUVbBy9yXAw+3dDhGR5lDPSkRESl/1xSoFKxGRsqK5AUVEpCxoGFBEREpdWy1rX0oUrEREyo16ViIiUvKqL1YpWImIlJtEY/WNAypYiYiUm+qLVQpWIiLlRjcFi4hI6VOwEhGR0pYsMFhVVkBTsBIRKTe6ZiUiIiUtWWA2YGV1rBSsRETKjq5ZiYhIyVOwEhGRkqdrViIiUup0n5WIiJQ+BSsRESl5DdU3DqhgJSJSbtSzEhGRkqdgJSIiJa9RwUpEREpdUtesRESklCUpLMGiwjpfClYiImVFs66LiEg5UIKFiIiUPAUrEREpeYUsEVJhFKxERMqNelYiIlLyNN2SiIiUumQr32dlZtsCj2bZPdTd346V/QFwITAMmA/cCpzs7otask0KViIi5abtZrC4DJiatu2T1D/MbHPgEeAN4DhgHeB4YDDw85ZsiIKViEi5abtrVo+7+6Qc+88D5gDbuns9gJnNAK4zs+3cfUpLNaSmpSoSEZE2kCRkA+Z7tFA8M7OeZrZax8bMegE7AhNTgSoyEagH9m2ZFgTqWYmIlJsCe1YLFiyoGz58+NxcZdy9d47dNwE9gBVm9igw2t1fi/ZtRoghL6bVt8zMpgFbFNTIAqlnJSJSVpIkGxryPprZtVoG3AGMAnYHzgS+BzxpZkOiMgOj51kZjp8FDGpOA9KpZyUiUm4KTLDo2bPnvDw9p4zc/Wng6dime83sPkIv6gzgN0DXaN/SDFUsie1vEepZiYiUm2Rj/kcLc/dXgIeB7aNNi6PnzhmKd4ntbxEKViIiZSbZmMz7aCUzgb7Rv1PDfwMzlBtILMW9JShYiYiUm3boWUUGA7Ojf78OrACGxwuYWSdgc2BaS544kazCOaYko8ZkMplYOK9FbzovCV17dAFgcf2Sdm5Jy+veq6G9m9DyEt3Cc7Ly/hZJ9CSRSCRpekdhLlBXP3dh3oI9encHmAf0LvYkZjbA3WenbRsBPA7c6O4HRdseADYlzGqRus/q98D1wI7u/nCx585GwUpSVhD+A81v74aIVLBeQCNNT277AKgrovw8YP1iT2JmU4BFhCSLLwgB6ZCovu+6+4dRuWFRmdcJAWodYDTwqLvvUux5c1GwEhGRVZjZ0YSMv40IAfZz4CFgTCpQxcqOAC5g9bkB83f/iqBgJSIiJU8JFiIiUvIUrEREpOQpWImISMlTsBIRkZKnYCUiIiVPwUpEREqegpWIiJQ8BSsRESl5ClYiIlLyFKxERKTkKViJiEjJU7ASEZGSp2AlIiIlT8FKRERKXlMXABNpcWa2LnAW8BOgD/ARMNndR5nZ+sCJwPbAeoSF4aYAJ7j7jFgdBwB/B7YG9iOsydMN+DdwSIbVT48CjmTlct23Aqe5+6JYmRmEJbovBcYBmwGfENb2mdiCb0GrMrMxwBmE13omsHu06y7gyNRrNrMOwCnA/sDahN/DBOA8d2+I1ZcELgeeIPzeNgLeA0a7+4NFtq0GOAY4KKpnPvAccJK7vxGVOR7YCzDC7/RNYKy735FWV8HtihYPHAv8INr0FHCiu79S7PsmrUs9KykJZrY28DzwC+Bm4GhC4PhZVOS7hA+Uf0b7riYErsfMrFuGKq8CvgWMAf4K/By4Mu2cY4DxhNVXRwP/Ao4FJplZIq2+IcBthAXoRhOWF59gZt9q2ituV3cCXYGTCK/pAMKHccr1hPftOeA44AXCh/7VGer6P+AKwu/sT0AX4E4z61dkmyYAFwP/A04ALgJqgS1jZUYBLwOnA38mrG59u5n9jNXlbVf0u/sv8E1CwBpL+Jt5wsyGZqgz3/smrUg9KykV5wMDgOHuPi210cxOjf45OcM36PuAZ4C9gZvS6vsc+Km7J6OyNcDRZlbn7vPMbABwMnA/sGus3AzCh9auwH2x+oYCP3T3p6NytwEzgQOB45v30tvcC+5+aOqH6AP898CJZvYdQo/qanc/PCryFzObCxxqZuPd/dVYXUOBoe7+v6iuR4FXgF+R9uUgGzPbHhgJXOLuo2O7Lkr70jDE3RfHjrsSeIkQUCenVVtIu84hBMQR7v5BVO5m4O1o395pdWZ93wp5ndI86llJu4sCye7ApHigAkgFkbQPqY7RB8V7hB7OsAzVXpM6NvIE4YNp/ejnHYBOwGVp5a4ElrOyR5fyaipQRe2ZDThhaKjcpPeQngD6mVkvYJdo2yVpZS6NnndJ2/5QKiAARIFsPsW9L3sBDYTe2yriv5u0v4E+QF3U9ky//5ztMrNaYCfgrlSgisrNAO4Gdo7KxOV636SVqWclpWAA0BN4PVsBM+tK6AkdSLiOEv/GXZfhkA/Tfv4qeu4TPaeClscLuXu9mX0c25+tvlSdfTJsL3W53pv1CcNr09PKvBdtb433ZTDwkbvPy1XIzHYFTgU2BzrHdiUzFM/XrgGE616eodzbhOud/YHPctQZf9/m52i6tAAFKykX4wmB6jLC0N88wofUP8k8QtCQYRusGuSK0dL1taeWfC1t8r6Y2TbAvYRrTEcAswg94AOBX7dRuyrpb6DsKFhJKZgNLAA2zVFmH+DG+DUNM+sC9G7iOVNDP0bsG7OZdSf03B5qYr3l7gPC58KGwLux7RtG2z/IdFAzTQd2NLPe7j43S5m9gSXAzu6+NLXRzA5s4jlnEzJKLcM+AxYCXzSxbmkFumYl7c7dG4F7gD3MbIv4vtgF9gZW/wb7R8J1qKZ4GFhGSLqI13sE0JHVL9hXi/uj52PSto+Knlvjfbmb8Hs8LX1H2u8/Sez3bWYbAHs05YRRCv6/gb3MbL1YnesBexKueWXrSUk7UM9KSsWfCRe8nzCzqwnXEtYlXDsYQkgrH2lm8wj312xNSJKY05STuftsMxtLSD2ebGaTCT27Q4D/ROerOu7+ipndCBwRJTE8CYwgZNHd4O6vtcI5HzGzW4DjzGwIIYh0BH5MSBG/iRAkjwMejDL21iDcH/ce8O0mnvpUYEfgSTP7a7TtcMK1uVOzHiXtQj0rKQnuPhPYCphESJ0eT/iATH2THwVMJNzkezEwkBCs6ptxzjGEe7YGE7LddiPcTLpnWoZgtTmYcJ/V1oRrhFsT7m06NPshzTaScP/SEMKN1ycSelJTAdx9CiFNfK2oTb+Kytzd1BNGNxv/iJBQcUr0eAvYxt3famq90joSyWQ1/58UEZFyoJ6ViIiUPF2zEpFWEd1UOyBPsXp3b/JQrlQPBSsRaS3rEub6y+VMwvUxkZwUrESktXxKyLbL5f22aIiUPyVYiIhIyVOChYiIlDwFKxERKXkKViLNZGYbmFkyWswx67ZSYmYTohV1Cyk7w8wea8a5HovWCWtx0Xs8oTXqltKiBAspS2a2LfBo2uaFhGmaJgJXluvcbtGcdweQYX0vkWqlYCXl7hbC5KsJYBDhQ/4ywvLkh7Rbq8Ls5F0J88wVawPCnIUzgGkt1iKRMqZgJeXuJXf/R+qHaELSt4CDzew0d/8s00Fm1tPdF7RWo6K5BZe0Vv0i1UbBSiqKu883s2cI6x8NBj6LrpfMAI4Fzge+D3wJfAPAzDYmTNS6A9AP+AS4HRjj7gvj9ZvZCOACwlLq86Ny6cudp4by/gecGU2YG9+3N2F5k82BTsBMwvpZxxMWEvx7VPTvZpb69+Puvm10fAI4jDDh7FCgEXgBOMvdVxkajdb8OpswAXAf4DVaYEZxM9uJMLHsdwmTCi8FngfOdffHsxyTmjB4W0JP+BFgtLu/n1au4Ncn1UMJFlJRog+6jaIf44vnrQdMIQzPnUCY1R0z2xJ4kTD79jWEZSf+RZiN/T9m1jFW91aEdbCGEALWWGA44RpZoe07F7iDMA3RpYR1oyYBuxCWWf8vcF5U/FrCbOQjgXNj1dwEXElYHuNPhCHDuqi9u6Wd8hZCEHwxen4SuAvYstA2Z3EA0Jfw2v8YvZahwCPRqr7pugOPEdYQOxm4gfCanzKztdLKFvP6pEqoZyXlrpuZ9Sd8Ux9I+OD8DvCsu8dXuv0G8Ad3vz7t+L8Rlkj/bnxY0MweIXyo/waYEG2+lPAF74fu/k5U7ipCAMjLzL5HWLfrUWAXd18S23cSgLvPNbP/ROWeiQ9xRuX2jNp0qLtfG9t+OfAscLmZ3efuyaj3swdhheUDYmX/SzOW1oj8IUOv82rgDUIweiKtfH/gcnc/Jq0ddxGmWzqs2NfXzPZLmVGwknJ3ZvRIaQTuZfXkii9ZObwGgJltRli47wygs5l1ju1+kpBduBMwwczWIKzrdEcqUAG4+zIzuxS4uYC2/iZ6PjkeqKJ6Cv3w/S2wAJgUBem4+wgf/BsD77ByFd2L0s41ycyczEu6FyQeqMysB9CZsJrvc4Rh1kzOT6vj7qgdexAFK4p7fVJFFKyk3F1LuG6UJASXd9z9ywzlpmdIZR8aPacHvLg1o+fB0fPbGcq8WWBbN47a+UqB5TMZCvQEMiaORNYkfJgPJgTvTB/sb9GMYGVmGxKGJncGeqftzhR457r7p1nasYeZdY8CYDGvT6qIgpWUu3fd/eECyi3KsC0RPV8MPJjluK+a1KrskmT+MC9UAphNSMTI5vVm1J9X1JP6L+E61GWEpI0FhMB4MrBdM6pv99cnpUnBSqpZ6ppWQwEBL7XUxSYZ9n2zwPO9A/yUcE3t+RzlcgWzdwkJHs8WsA7U+4RrbEMI15Lihq5evGDbE+5pO8jd04dWz8lyTG8zWytD72oo8HlsWLGY1ydVRNmAUs1eJnxLPyxKq16FmXUws74A0f1azwK7m9mQWJlOhJT4QqSua50XHZd+vlRPL/Uh3TdDHRMJ/2/HZjqBma0Z+/Ge6PmEtDJ70IwhQMK1KVjZM03VuxOwVY7jTkorv2fUjkmxzcW8Pqki6llJ1Yoy5kYSUtpfNbO/EXog3Qjp73sRhrUmRIccR0i/fsrM/gLMBfajwP9H7v68mV0AnAi8ZGa3EtZ8+gawD/C9qM43CcNqR5jZomjb5+4+xd3viO69OsrMhhHS7L8A1iEkgGxEdH3N3R8ys/uA/aOg+yCwIXAoIUhvWtw79rUno3ZfHN1P9hHhnrGRhCHBzTIc8wWwl5kNIryHGwNHEK5NjYm9RwW/Pqku6llJVYvm3tsC+AewG+H+q1MJGW0TCDeupso+Q1hM8F1CL+FkYCrwuyLOdxLhesw8wj1ElxGC4v1E19XcfTEhCM6P9t9CuGk5VcdB0TlT14jGA/sTemQnp53yl8AlhEB4MbBNdL6phbY5w2uYS0iseI5wq8DFhKHQXYCXshy2kHAzcGdCVuDBhOA5wt1npdVfzOuTKqHFF0VEpOSpZyUiIiVPwUpEREqegpWIiJQ8BSsRESl5ClYiIlLyFKxERKTkKViJiEjJU7ASEZGSp2AlIiIlT8FKRERK3v8Hoa58BbNSEUcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pipe4, df_scores4, bas4 = GKF_canonized(df_author_1900_1930)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "82e04d4e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.693075241520344\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pipe4, df_scores4, bas4 = GKF_canonized(df_author_1930_1960)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "0d4d9bd8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.7819603753910322\n"
     ]
    },
    {
     "data": {
      "image/png": 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ERPLoiNMtldMNuD1wbbTMeq68/S6wdlWiEhGRvJqaOxV9tDfltKx6EJZuz6dfhbGIiEgRaUrr5mtvPYHlJKs3gS0K7N+RsAihiIi0Io0GLOwmwsq48RF/aQAzmwh8G7ixirGJiEgO6XSq6KO9KadlNQX4FmEl3FcJiWqqmQ0C1iIsvX5l1SMUEZGYUoemt6+EVXLLKrr591vACcBiYAkwDPgEOAnYzd2bWyNIERH5goauF+HuK4Cp0UNERNpaGppLGe3XzhKW1rMSEakz7SwPlaSsZGVmPYBjgL2ADaPNbwF3AZe5++LqhiciItna4wCKYkpOVtFAipnAl4EFhCQFMBzYCvihme3g7nOqHqWIiHyhDZpWZrYJcBawLTAAeIcw1d5Ud18aK7cNcD4wkpAbbgFOdfdF1YynnKHrFwCbAscDa7j7SHcfCawBTCQkrQuqGZyIiKyqtYeum9k6wLOEhsjlwHHA88A5wHWxciMIU+31IOSG64BxhIRVVeV0A34PuN7dL45vjEYJTjWzLxO6B0VEpBU1N7d6N+DBQH9gO3d/Odp2jZn1BA4ws8PcfTnwa+BTYHQ0FR9mNhu41sx2dPeZ1QqonJZVN+CFAvufi8qIiEhrSqeKPyqTmT7vo6ztHwLLgSYz60e4nWl6JlFFpgMLqfLE5uUkq78R+iTz2YLQbBQRkVbUBvdZ/TV6vt7MvmZm65rZQcAhwHnRPbWbEXrnnosfGPW2zSKs0FE15XQDTgQeMrN/AL+J7rnCzLoARwF7AztVMzgREcmhxGTU2NjYMGrUqHmFyrh7/xzb7jezM4CfA7vHdv3C3X8V/Tw4ev4gR7UfAFuXFmVp8iaraEXgbJ8CFwOTzSwzGnBDQpPxTeBClLBERFpVGw1dfxt4hHBr0qfAd4EzzWyOu19FWHAXYGmOY5fE9ldFoZbVhuRftwpgteh5XvToyhf3XomISGspsWXVt2/f+blaTsWY2QHA1cAwd38/2nynmXUCppjZLYRp9wC656iiR2x/VeRNVu6+fjVPJCIi1ZFu/dGA44HnY4kq44+E61Zf44vuv8GsajBhZfmqaX/LSYqItHupEh4VWRPonGN71+i5C/BPYAUwKl7AzLoBIwiDLKpGyUpEpN6kS3hU5jVglJltlLX9B0AT8JK7zwceJKxz2CdWZizQB7it4ihiyp0bcCPCncxbEabfyE52aXfPfnEiIlJNrT/d0gXAd4AnzOxyYC6wW7TtKnf/OCp3GvAk8IiZXQcMIYwc/7O7P1jNgEpuWZnZZoSbgg8n3Py7IfA54ULa+oRs+26+40VEpArSlHZTcAUJzd0fBbYhfOYfRRgFvhFwKnB0rNwLwBjCiMCpwE+Aa4H9Wn723MppWU0GlgFbEoYxfgxMcPeZZvYTwrQbe1Q7QBER+UKa0m76rbTx5e7PAruWUO5xwmS3raqca1bbAde4u/PF+5ACcPdrgT8D51Y3PBERWUVzqvijnSknWfUl3PgLoYUF0Du2/wlCQhMRkVaSAlLpEh61DrTKyklWHwFrAbh7I+F61bDY/gHkHuooIiLV1PqjAROnnGtWs1h5PP1fgQlm9iwh6R0NvFi90EREJKcOuFJwOS2rm4CB0XomAGcADcDDhMW3+hMmPRQRkdakllV+7n4LsdUf3f3vsQUXmwjj6t/Kd7yIiFRJc60DaHtl3RSczd3fAy6tUiwiIlKKDtgNWFGyEhGRtpdqh918xRRaz+p/W1Bf2t1/XEE8IiJSjJLVSg5pQX1pQMlKRESqqtB6VpqRvYNZuKQbO/z8yFqHUXVXn7Q2AOPOb3+vjXs+qXUEVbdiszDg+LN7NqlxJNWX7l2dj1V1A4qISPK1w+mUilGyEhGpJ6XeR9XOWl9KViIidUbdgCIiknxKViIiknhKViIiknTqBhQRkeTTaMDizGx9YAywJvB/7j7bzLoR1rr60N2XFTpeREQq0xFbVmXdoWZm5wGvA9cAk4ENo109gH8B46sanYiIrKoDLhFScrIys3HAicAVwM7EVk129wXAH4HvVTtAERFZWSnL2rc35bSsxgN3ufuxwN9z7H8JsGoEJSIiBahlVdAw4IEC++cAAysLR0REikk1F3+0N+UkqyVA7wL7hwLzKopGREQkh3JGAz5LWML+wuwdZtYDGAs8UaW4REQknzbq5jOzrwOTgG2ArsCbwFR3nxYrs3tUZlPgY+B64Gx3X1HNWMppWV0AbG1mNwJfjbatZWa7AI8AQ4Ap1QxORERW1RYDLMzsO4QGSFfgDGAi8CCwblaZGcBc4GfRz78AplYewcpKblm5+4NmdiRwCXBgtPnG6HkZ8BN3f6rK8YmISLZWblmZWQMwDfiNu08oUHQKYcDdLu7eFB27ADjVzC5199erFVNZ91m5+zXABsCxwG+Aq4ETgI3jzUIREWklpYwErHxE4IFAf0IrCTPra2YrTZthZpsSuv6uziSqyJWE3LJPRRFkKXsGC3f/ELismkGIiEjpSh3t19jY2DBq1Kh5hcq4e/8cm8cArwK7mtn5hMs888zsauC0KDltHpV9Lqu+983s37H9VaG5AUVE6kwb3PS7MeHa1DTgfEJX327AyYQZi44FBkdlP8hx/AfA2tUMqORkZWYzSyiWdvedKohHRESKKTFZ9e3bd36ellMxfYABwCnufl607U4z6wOMN7OzgJ7R9qU5jl8C9GrBefMqp2W1Iau+RV0I2bUT8AnweZXiEhGRfFq/ZbU4er45a/v/AfsBW8bKdM9xfI/Y/qooZzTg+rm2m1l34HjgUOCb1QlLRETyaYNuwA+ALwMfZW3P/D6AL7r/BrNqV+Bg4MlqBlTWaMBc3H2pu58DPANcVHlIIiJSUOvPDfh89LxO1vYh0fMcYFb086h4ATNbOyo3iyqqOFnFPA7sUsX6REQkhzaYG/C26PnHmQ3R0PXDCZd7nnb3lwkjBo8ws86xY48EmoE7Ko4ippqjATcAulWxPhERyaWVuwHd/Xkzm064uXcN4AXgu4QGyUnRslAQlo36I3Cfmd0CfAU4mnDv1WvVjKmc0YDr5dm1GmFM/jGEaZdERKQVtdF6VT8B3gV+FD3eAn7q7ldnCrj7n8xsb+CXhPtv5wBnAb+qdjDltKxmkz+fpwAnJCwREWlNbZCs3H0ZYU7AM4qUm0GYE7BVlZOsJrPqW5QmTGD4GvCgu7fDVVRERBKmHS6uWEw5Q9cntWIcIiJSova4bH0xJSWr6K7lF4HL3P3iVo1IREQK6ojJqqSh6+6+EFgdWNi64YiISEFtM+t64pRzn9XTZN38JSIiNdDBEhWUl6xOAb5vZodmr2siIiJtI0VpKwW3tw/pgtesonur5rj7YsJUSp8B1wHnm9mbwKKsQzTruohIa2uHLadiig2weBs4mDDzbmbW9XejfWu2YlwiIpJHFaZTqjvFklUqeuSddV1ERNpWRxwNqJWCRUTqjZKViIgknpJVTtubWTkzXUyvIB4RESlC3YC5HRE9ikkR8r2SlYhIa1Kyyukawg3BIiKSAKnmjpetSklWj7n7Ta0eiYiIlETdgCIiknxKViIiknRqWYmISLKVOlFtO0toBZOVu5cz0a2IiLQBTbckIiKJp25AERFJvnTHy1ZKViIidUYtK5F2olOqmRuOuoM5C3oD+9GnywtMP+p2OqXSLFrWlcm378C/5zbUOkyJdL/rM7rfvwBScPPIm9j30v3o8uIiel7/CakVaVZs3J1FE9aEzu1tScEWUrISaR8O2OYfzJ4zgN7dlwGwbs+L+eG1OzF7zgD22eqfHLbD80y+Y8caRykAqU9W0P3ueSz4zVDo3onmq5uZdccsel/0EY2/XofmdbrR48ZP6fbgApbtoi8YUJsBFmZ2EnAe8KK7j8jatw1wPjASWADcApzq7tkL9LZYTZOVmU0CfklY2PFMYI9o153AUZkXGk2kexrwI2Ad4N/ANODX7t4Uqy8NXAI8BkwGNgbeACa6+1/KjK0TcCxwWFTPAuAZ4BR3fzkqcwKwN2BAL+BfwDnufntWXSXHZWYjgXOAbaJNTwAnu/uL5b5vHdUa/Ray7Zfe5bcPj+TA7TJvW+q/iatPj2XMaexduwBlFakmSC1Lk+6SZvni5XTr1Y10lxTN63QDYMXmvehx21wlq0hbJyszWws4Hfg8x74RwEPAy8DxwBDgBMLn0/eqFUNShqbfAfQETgFuBQ4hfBhnXAdMIiSL44G/ET70r8pR1zeBS4GbgJOAHsAdZrZ6mTFNAy4krJZ8InAB0BnYIlZmAvB34BfAz4EVwG1m9t2WxGVmXwYeBTYlJKxzgC8Dj5nZ8Bx1FnvfOqTjdnuSy/78DeLTp727aCIXH3Ivd598I9/Z/HWm/3Xz2gUoK0kP7MKSvfvTcMjbNBz8Nj369eCre34VmtJ0fn0JAF2fWEinOStqHGmCpNPFH9V1LvBc9Mj2a+BTYLS7X+XupwNHA7uZWdW6L5LSDfg3dx+X+SX6AP8xcLKZfY3QorrK3Y+MilxhZvOAcWZ2mbu/FKtrODDc3d+O6noYeBH4AXB5KcGY2U7AWOAid58Y23WBmcU7zYe5++LYcZcDLxAS6j1Z1ZYS11mEhLidu78TlbsJeDXat09WnXnft1JeZ7ae3btx9Un7teTQxOjX5Sn6df0Kxw0ZT58us1ij+8d0WX0Q3Rf9iTc/u5BF6eGs0fcWbjvlPd5bfEKtw63coOW1jqBii+Yt4nf/+h0H/v1Iejb05A/jbufDe97m6BuO4M9n3suKZYvZZPRIXn3zFSZseXitw61Iz87dqlJPWw6wMLMtgYOBUcDFWfv6Ad8CLnD3hbFd04GpwPeBmdWIIyktq+wW0mPA6tEbsWu07aKsMlOj512ztt+XSQgAUSJbQGiSlmpvoInQeluJu6djP8cT1QCgIYp9ZI46C8ZlZp2BnYE7M4kqKjcbuAvYJSoTV+h965B6d3mZhq5Psmm/A1m/11n07TKL7ouOolOTs6gpNE4/Wzaa3l1ernGkkvHGX99gtfUG0GdgHzp37cxWe47i1adeZ+jXh/LTPx3J0ff/jA223oCBGw2sdajJkS7hUQXRl/PLgBvcfVaOIpsRGj0rtbjcfRkwC6haF0ZSWlbvZv3+WfQ8ABhK6F57M6vMG9H2oUXqytQ3oIx4NgT+7e7zCxUys90I/bgjgO6xXbn+qRSLaxDhupfnKPcqcAAwEPioQJ3x921BgdBzWrx0GePOv63cwxKmAdgXgJEb/IeDt3+R3mudwWb99uXs66/l3U/7s/sWr7CNdeaUm+r9tQL7fVLrCCrWef4Sej/+EQ88+hl0T7HTff1YZ8QQfnr/VaT7d4HlzfQ5+32W7L8ajz57Xa3DrcjDY86gb6eeFddTasuqsbGxYdSoUfMKlXH3/gV2/5BwWWLPPPsHR88f5Nj3AbB14QhLl5Rk1ZRne0vGqVazrrzMbHvgj4RrTOMJf5jlwKHAgW0UV5u81vrXmXcXT+Tcgy4hnU6xYHE3fnXHDrUOSiJNX+rBsm370G/Cu9A5RXrLL7PVD7fitmMepeuzn0Malu7awIqv9ap1qMmQLnE9qwpbV2bWl3Ct6lx3z5WMIFwzB1iaY9+S2P6KJSVZFfIOIc6NgNdj2zeKtr+T66AKvQl8y8z6u/u8PGX2IfwxdnH3//6hzOzQFp5zDrCIMLIwmxFG4dT/1+g29MLb6/DC2+tw9Ukwf/l2jLs03/83qbUlB6/OkoPDWKP9tzwAgMU/HsTiHw+qZVjJVWIi6tu37/wiLadCTgeWseolmLjMpZDuOfb1iO2vWFKuWRVyb/R8bNb2CdFz9kCGariLMNDhjOwdsQEWTYR/Mp1j+9Ynf3O5oGgI/v3A3ma2XqzO9YC9CNe88rWkRKQDSaWLPyphZoMJn7lXAGua2frR51sPoFv0+wC+6P4bnKOawcD7lUXyhcS3rNz9RTO7ARgfvTmPA9sRRtFd7+7/aIVzPmRmNwPHm9kwQhLpCuxAGCJ+IyFJHg/8JRqxtwZwFOFa2ldbeOrTCSNrHjez30TbjiRcmzu9hXWKSHvT+svarwl0I9wEfF6O/W9H288hfD6NItznCYCZdSNcy6/aKvP10LICOJxwn9XWhKGTWxPubRqX/5CKjSXcvzQMmEIYDp4Gngdw95mEYeJrRTH9ICpzV0tPGN1s/D+EARWnRY9XgO3d/ZWW1isi7UzrjwZ8m9Cjk/14GZgd/Tw9GoT2IDDWzPrEjh8L9AGqNoople6As/dKTvMaFy1p2OHoK2sdR9Vl7h2r/5GOObSD0YDZro7upRpX5yP/cnl4zBn07dpzPtC/hVXMW7hwScNu+11atOCfbjuGPn16VHKuVZjZI0D/+HRL0aw7TwL/JEzgMASYCDzs7tm3FrVYvbSsREQkkmpOF320FXd/ARhDGBE4FfgJcC1Q1RkGEn/Nqpqim2qLDS9amHUntohIstSoQ8zdR+fZ/jiwbWueu0MlK2BdQl9sIWcSro+JiCRSqgNevuloyepDwmi7Qt5qi0BERFqsBkuE1FqHSlbuvoQwckVEpG6pZSUiIsnX8XKVkpWISF1po7kBk0bJSkSk3qgbUEREkq6tl7VPAiUrEZF6o5aViIgkXsfLVUpWIiL1JtXc8foBlaxEROpNx8tVSlYiIvVGNwWLiEjyKVmJiEiypUtMVu0roSlZiYjUG12zEhGRREuXOBqwfTWslKxEROqOrlmJiEjiKVmJiEji6ZqViIgkne6zEhGR5FOyEhGRxGvqeP2ASlYiIvVGLSsREUk8JSsREUm85tZNVmb2deAQYAdgKPAp8CRwuru/kVV2G+B8YCSwALgFONXdF1Uzpk7VrExERNpAurn4ozInA3sDDwITgGuA0cDfzWx4ppCZjQAeAnoAxwPXAeMICauq1LISEaknaUobYFFZ4+si4EB3X5bZYGa3AP8gJLJDos2/JrS6Rrv7wqjcbOBaM9vR3WdWFEWMWlYiInUlmnW92KOCbOXuT8YTVbTtdeBlYDiAmfUDvgVMzySqyHRgIfD9FgeQg1pWIiL1psQBFo2NjQ2jRo2aV6iMu/cvpS4zSwFrAi9GmzYj5JDnsupbZmazgM1LCrJEalmJiNSbklpWVXcQsA5wa/T74Oj5gxxlPwDWrubJ1bISEak3pSwRAvTt23d+qS2nQszsS8AVwOPAjdHmntHz0hyHLIntrwolKxGRetOG91mZ2VrAPcBnwH7unsmUi6Pn7jkO6xHbXxVKViIi9aaNplsyswbgz0ADsK27fxjbnen+G7zKgWHb+9WMRdesRETqTDrdXPRRKTPrAdwNDAN2c3fPKvJPYAUwKuu4bsAIYFbFQcQoWYmI1JvmdPFHBcysM+HG3q0JXX9PZ5dx9/mEm4bHmlmf2K6xQB/gtoqCyKJuQBGRetP616wuBHYntKxWM7ODY/sWuvuM6OfTCNMwPWJm1wFDgInAn939wWoGpGQlIlJP0pQ2GrCyfDYiev5e9Ih7B5gB4O4vmNkY4DxgKmFuwGuBUys6ew5KViIi9aaVW1buPrqMso8D27ZeNIGSlYhIXUmTbmoqqVx7omQlIlJvWnmJkCRSshIRqTdVGJpeb5SsRETqTFotKxERSbwO2LJKpdtwjilJtOZ0Op1auDjXnJT1rWf3bgAsXrqsSMk61LX9/f/t2Tn6ezW1v79Xny49SKVSaVo+IcM8oGHhvM+Ln6t/b4D5QP8WnitRlKwkYwXhP9CCWgci0o71A5ppea/WO4R5+ko1HxjawnMlipKViIgknuYGFBGRxFOyEhGRxFOyEhGRxFOyEhGRxFOyEhGRxFOyEhGRxFOyEhGRxFOyEhGRxFOyEhGRxFOyEhGRxFOyEhGRxFOyEhGRxFOyEhGRxFOyEhGRxFOyEhGRxNOy9pIYZrYuMBn4NjAA+Ddwj7tPMLOhwMnATsB6wCJgJnCiu8+O1XEI8Ftga+AA4CCgF3A/cIS7z8k659HAUcCGwBzgFuAMd18UKzMbmAVMBaYAmwHvA5PcfXoV34JWZWaTgF8SXuuZwB7RrjuBozKv2cy6AKcBPwLWIfwdpgG/dvemWH1p4BLgMcLfbWPgDWCiu/+lzNg6AccCh0X1LACeAU5x95ejMicAewNG+Jv+CzjH3W/PqqvkuMxsJHAOsE206QngZHd/sdz3TVqXWlaSCGa2DvAssB9wE3AMIXF8NyrydcIHyu+jfVcREtcjZtYrR5VXAl8GJgG/Ab4HXJ51zknAZYTVVycCfwKOA2aYWSqrvmHArcB9Udl5wDQz+3LLXnFN3QH0BE4hvKZDCB/GGdcR3rdngOOBvxE+9K/KUdc3gUsJf7OTgB7AHWa2epkxTQMuBN4GTgQuADoDW8TKTAD+DvwC+DlhdevbzOy7rKpoXNHf7lFgU0LCOofwb+YxMxueo85i75u0IrWsJCnOBQYBo9x9VmajmZ0e/XhPjm/QdwNPAfsAN2bV9zHwHXdPR2U7AceYWYO7zzezQcCpwL3AbrFyswkfWrsBd8fqGw5s6+5PRuVuBd4DDgVOqOylt7m/ufu4zC/RB/iPgZPN7GuEFtVV7n5kVOQKM5sHjDOzy9z9pVhdw4Hh7v52VNfDwIvAD8j6cpCPme0EjAUucveJsV0XZH1pGObui2PHXQ68QEio92RVW0pcZxES4nbu/k5U7ibg1WjfPll15n3fSnmdUhm1rKTmokSyBzAjnqgAMkkk60Oqa/RB8QahhTMyR7VXZ46NPEb4YBoa/T4G6AZcnFXucmA5X7ToMl7KJKoonjmAE7qG6k12C+kxYHUz6wfsGm27KKvM1Oh516zt92USAkCUyBZQ3vuyN9BEaL2tJP63yfo3MABoiGLP9fcvGJeZdQZ2Bu7MJKqo3GzgLmCXqExcofdNWplaVpIEg4C+wD/zFTCznoSW0KGE6yjxb9wNOQ55N+v3z6LnAdFzJml5vJC7LzSz/8T256svU+eAHNuTrtB7M5TQvfZmVpk3ou2t8b5sCPzb3ecXKmRmuwGnAyOA7rFd6RzFi8U1iHDdy3OUe5VwvXMg8FGBOuPv24ICoUsVKFlJvbiMkKguJnT9zSd8SP2e3D0ETTm2wcpJrhzVrq+Wqvla2uR9MbPtgT8SrjGNBz4gtIAPBQ5so7ja07+BuqNkJUkwB2gEvlKgzL7ADfFrGmbWA+jfwnNmun6M2DdmM+tNaLnd18J66907hM+FjYDXY9s3ira/k+ugCr0JfMvM+rv7vDxl9gGWALu4+9LMRjM7tIXnnEMYUWo59hnwOfBJC+uWVqBrVlJz7t4M/AHY08w2j++LXWBvYtVvsD8jXIdqiQeBZYRBF/F6xwNdWfWCfUdxb/R8bNb2CdFza7wvdxH+jmdk78j6+6eJ/b3NbH1gz5acMBqCfz+wt5mtF6tzPWAvwjWvfC0pqQG1rCQpfk644P2YmV1FuJawLuHawTDCsPKxZjafcH/N1oRBEp+25GTuPsfMziEMPb7HzO4htOyOAB6IztfhuPuLZnYDMD4axPA4sB1hFN317v6PVjjnQ2Z2M3C8mQ0jJJGuwA6EIeI3EpLk8cBfohF7axDuj3sD+GoLT3068C3gcTP7TbTtSMK1udPzHiU1oZaVJIK7vwdsBcwgDJ2+jPABmfkmPwGYTrjJ90JgMCFZLazgnJMI92xtSBjttjvhZtK9skYIdjSHE+6z2ppwjXBrwr1N4/IfUrGxhPuXhhFuvD6Z0JJ6HsDdZxKGia8VxfSDqMxdLT1hdLPx/xAGVJwWPV4Btnf3V1par7SOVDrdkf9PiohIPVDLSkREEk/XrESkVUQ31Q4qUmyhu7e4K1c6DiUrEWkt6xLm+ivkTML1MZGClKxEpLV8SBhtV8hbbRGI1D8NsBARkcTTAAsREUk8JSsREUk8JSuRCpnZ+maWjhZzzLstScxsWrSibillZ5vZIxWc65FonbCqi97jaa1RtySLBlhIXTKz0cDDWZs/J0zTNB24vF7ndovmvDuEHOt7iXRUSlZS724mTL6aAtYmfMhfTFie/IiaRRVmJ+9JmGeuXOsT5iycDcyqWkQidUzJSurdC+7+u8wv0YSkrwCHm9kZ7v5RroPMrK+7N7ZWUNHcgktaq36RjkbJStoVd19gZk8R1j/aEPgoul4yGzgOOBf4BjAX2ADAzDYhTNQ6BlgdeB+4DZjk7p/H6zez7YDzCEupL4jKZS93nunKexs4M5owN75vH8LyJiOAbsB7hPWzTiAsJPjbqOhvzSzz81/dfXR0fAr4KWHC2eFAM/A3YLK7r9Q1Gq359SvCBMADgH9QhRnFzWxnwsSyXydMKrwUeBY4293/mueYzITBowkt4YeAie7+Vla5kl+fdBwaYCHtSvRBt3H0a3zxvPWAmYTuuRMJs7pjZlsAzxFm376asOzEnwizsT9gZl1jdW9FWAdrGCFhnQOMIlwjKzW+s4HbCdMQTSWsGzUD2JWwzPqjwK+j4tcQZiMfC5wdq+ZG4HLC8hgnEboMG6J4d8865c2EJPhc9Pw4cCewRakx53EIsBrhtf8sei3DgYeiVX2z9QYeIawhdipwPeE1P2Fma2WVLef1SQehlpXUu15mNpDwTX0w4YPza8DT7h5f6XYD4Cfufl3W8f9LWCL96/FuQTN7iPChfhAwLdo8lfAFb1t3fy0qdyUhARRlZlsS1u16GNjV3ZfE9p0C4O7zzOyBqNxT8S7OqNxeUUzj3P2a2PZLgKeBS8zsbndPR62fPQkrLB8SK/soFSytEflJjlbnVcDLhGT0WFb5gcAl7n5sVhx3EqZb+mm5r6/C+KXOKFlJvTszemQ0A39k1cEVc/miew0AM9uMsHDfL4HuZtY9tvtxwujCnYFpZrYGYV2n2zOJCsDdl5nZVOCmEmI9KHo+NZ6oonpK/fA9GGgEZkRJOu5uwgf/JsBrfLGK7gVZ55phZk7uJd1LEk9UZtYH6E5YzfcZQjdrLudm1XFXFMeeRMmK8l6fdCBKVlLvriFcN0oTkstr7j43R7k3cwxlHx49Zye8uDWj5w2j51dzlPlXibFuEsX5YonlcxkO9AVyDhyJrEn4MN+QkLxzfbC/QgXJysw2InRN7gL0z9qdK/HOc/cP88Sxp5n1jhJgOa9POhAlK6l3r7v7gyWUW5RjWyp6vhD4S57jPmtRVPmlyf1hXqoUMIcwECOff1ZQf1FRS+pRwnWoiwmDNhoJifFUYMcKqq/565NkUrKSjixzTauphISXWeriSzn2bVri+V4DvkO4pvZsgXKFktnrhAEeT5ewDtRbhGtswwjXkuKGr1q8ZDsR7mk7zN2zu1bPynNMfzNbK0frajjwcaxbsZzXJx2IRgNKR/Z3wrf0n0bDqldiZl3MbDWA6H6tp4E9zGxYrEw3wpD4UmSua/06Oi77fJmWXuZDerUcdUwn/L89J9cJzGzN2K9/iJ5PzCqzJxV0ARKuTcEXLdNMvTsDWxU47pSs8ntFccyIbS7n9UkHopaVdFjRiLmxhCHtL5nZ/xJaIL0Iw9/3JnRrTYsOOZ4w/PoJM7sCmAccQIn/j9z9WTM7DzgZeMHMbiGs+bQBsC+wZVTnvwjdauPNbFG07WN3n+nut0f3Xh1tZiMJw+w/AYYQBoBsTHR9zd3vM7O7gR9FSfcvwEbAOEKS/kp579h/PR7FfWF0P9m/CfeMjSV0CW6W45hPgL3NbG3Ce7gJMJ5wbWpS7D0q+fVJx6KWlXRo0dx7mwO/A3Yn3H91OmFE2zTCjauZsk8RFhN8ndBKOBV4HvhhGec7hXA9Zj7hHqKLCUnxXqLrau6+mJAEF0T7bybctJyp47DonJlrRJcBPyK0yE7NOuX+wEWERHghsH10vudLjTnHa5hHGFjxDOFWgQsJXaG7Ai/kOexzws3A3QmjAg8nJM/t3P2DrPrLeX3SQWjxRRERSTy1rEREJPGUrEREJPGUrEREJPGUrEREJPGUrEREJPGUrEREJPGUrEREJPGUrEREJPGUrEREJPGUrEREJPH+H56tbqUIkKVLAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pipe4, df_scores4, bas4 = GKF_canonized(df_author_1960_1990)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "4d68a6fa",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.7055631451123254\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pipe4, df_scores4, bas4 = GKF_canonized(df_author_1990_2020)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b681272c",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "6277f9cf",
   "metadata": {},
   "source": [
    "### DOC2VEC "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a5740e83",
   "metadata": {},
   "source": [
    "#### w/ pretrained model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "fa56409f",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_main = pd.read_csv(r'data_doc2vec/spacy_vectors.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "3a246fe6",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_main.set_index(\"Unnamed: 0\", inplace = True)\n",
    "df_main = df_main.replace(np.nan, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "53845daf",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "714\n"
     ]
    }
   ],
   "source": [
    "df_main_author = get_df_with_authors(df_main)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "deffa77a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "6dd3ee60",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_canon_NOVEL_SCALE = pd.read_csv(r'meta_data/df_canon_NOVEL_SCALE.csv').drop(['Unnamed: 0'], axis=1)\n",
    "df_canon_NOVEL_SCALE.set_index(\"doc_name\", inplace = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "8305a42f",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_canon_AUTEUR_SCALE = pd.read_csv(r'meta_data/df_canon_AUTEUR_SCALE.csv').drop(['Unnamed: 0'], axis=1)\n",
    "df_canon_AUTEUR_SCALE.set_index(\"doc_name\", inplace = True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8e304745",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "847bdac8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "canon    306\n",
       "Name: canon_roman, dtype: int64"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_canon_NOVEL_SCALE.canon_roman.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "b48bdd9b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "canon    1173\n",
       "Name: canon_auteur, dtype: int64"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_canon_AUTEUR_SCALE.canon_auteur.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "08450e29",
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_canon_list(df, df_canon):\n",
    "    df_res = df.copy()\n",
    "    canon_list = []\n",
    "    for novel in df_main.index:\n",
    "        if novel in df_canon.index:\n",
    "            canon_list.append(\"canon\")\n",
    "        else:\n",
    "            canon_list.append('non_canon')\n",
    "    df_res['canon']=canon_list\n",
    "    return df_res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "b687c2f5",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_doc2vec_novel = get_canon_list(df_main_author, df_canon_NOVEL_SCALE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "d375c4ae",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_doc2vec_author = get_canon_list(df_main_author, df_canon_AUTEUR_SCALE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c4e590e9",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "bfa1cee2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1b5fa78067554da7b08236babbf341a3",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/10 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6766666666666666\n",
      "0.6616666666666666\n",
      "0.6416666666666666\n",
      "0.6783333333333333\n",
      "0.705\n",
      "0.6816666666666666\n",
      "0.6933333333333334\n",
      "0.7\n",
      "0.685\n",
      "0.6950000000000001\n",
      "0.6818333333333333\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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iFuwfBnwM/DG3LCLeKWXHzMxKpr0EaJIneDc+PHYjYAQwCxhdwn6ZmZVMpeSgi0lxbJ/7Ol3l7qwWqpuZWStZ5zsJI+JlSbuVojNmZm2ivYygJV2c87IDsDOwqGQ9MjMrpcjOLI1CihlB98zZryPJST9Umu6YmbWB9jCCTm9Q6RER32mj/piZlZRovYuEku4AjgAWRsR2TY59G7gO6B8RNWnZpcBpQD1wQURMytd+izeqSOoUEfUkKQ0zs/YjitiKcydwaNNCSUOBzwPv5JRtCxxPMgPuUODmdBDconx3EjY+ufsVSY9KOknSlxu3ortvZpYlrbiaXUQ8Ayxp5tBPgO/y76H+KOC+iFgVEXOA2UDelUGLyUH3ARaTPIOwcT50AA8Xca6ZWfYUd5Gwn6QXc16Pj4jxhU6S9CVgXkS8Kv3bqniDgSk5r+emZS3KF6AHpDM4XmNNYG5UISl2M7O1FTlCromIXdepXWlj4DLgC80dbqYsb0/yBeiOQI/1adTMLNNKF8E+S3K3dePoeQjwcvqQk7nA0Jy6Q4D5+RrLF6Dfi4gfblhfzcwypoRP9Y6I6cCAxteS3gJ2jYgaSY8C90i6EdgMGMmaa33NyneRMBuPFDAza2WtdZFQ0r3As8AoSXMlndZS3YiYAUwAZgITgXPTmXItyjeCPri4LpqZVZhWGkFHxAkFjg9v8nocMK7Y9lsM0BHR3NQRM7OK155u9TYzaz9KmINubQ7QZlZVROVcYHOANrPq4xG0mVk2tZsnqpiZtTsO0GZmGdTOFuw3M2tfPII2M8sm56DNzLLKAdrMLJs8gjYzy6Kg2AX7y84B2syqSms+NLbUHKDNrPo4QJuZZZOiMiK0A7SZVRevZmdmll3OQZuZZZRv9TYzyyqPoM3MMmgdHgpbbg7QZlZ9HKDNzLLHN6qYmWWYGiojQjtAm1l18Txoq1RHn7aIw05cghT86e6+PHJbf75xyfsc9vXFLF+S/Ovy6x8P4oU/b1LmnlavhfM6c92Fw1i6sDPqEBz+jcUcc3oNHyztyFVnD2fB3C4MHLKay371Fj171/P+u10443NbM2SLVQBsvcsKLrxmbpk/RXl5mp1VnM1HreSwE5dwwRdHUrtaXHXPmzw3OQnEj9zanwdvGVDmHhpAx07BmZfPZ+QOK/n4ow6cd+hW7Lz/hzxxfx922vdDvnb+Qu7/+QDuv2kAp//3ewAM2nwVv3xyVpl7niEVMoLuUO4OWHYMG7mK11/emFUrO9BQL6Y924N9Dlte7m5ZE30H1jFyh5UAbNyjgaFbrqLmvc48O6kXh3x1CQCHfHUJz07sVc5uZpqi8JYFDtD2qbf+sRHb7/ERPTeto2u3BnY76AP6b7YagCNPreGXT87i4hvfoUevujL31Bq9/24X/vVaN7be+WOW1nSm78Dkt+k7sI5li9f8gfz+O1341ue34ttf3pLpz3UvV3ezIYCIwlsGlCxASxou6XVJt0qaIelxSd0kjZE0RdI0SY9I2jSt/5SkayQ9L+mfkvbL03ZHSddLmp62c35afrmkFyS9Jmm8JOVrW9JGkn6dtjNV0oFp+SmSHpY0UdIbkq5toR9nSnpR0ou1rGrtr7DNvTt7IybcPIAf3/cm4+5+kzkzu1FfJ/73rr6cutc2fOvzW7FkQWfOvGJ+ubtqwMoVHfjR6cM5+4fz6N6z5aRqnwG1/O6Fmdz8xD8568p5XP2tzVnxYXWPzdRQeMuCUv9KI4FfRMRoYBnwFeA3wPciYgdgOnBFTv1OEbE7cFGT8qbOBEYAO6Xt3J2W3xQRu0XEdkA34IgCbZ8LEBHbAycAd0naKD02BvgasD3wNUlDm3YiIsZHxK4RsWtnuhb4KirDpHv7ct7YZKT14bKOzJvTlWU1nWloEBHiT3f3ZdSYleXuZtWrq4UfnT6cg768lH0PT9JQm/arZfGCZNS8eEEnevdNRtNdugab9KkHYOQOK9ls+Grmvdk+/n1dH43zoJ3igDkR8Uq6/xLwWaB3RDydlt0F7J9T/+GcusPztHsIcEtE1AFExJK0/EBJz0maDhwEjC7Q9r7Ab9M2/gG8DWyVHpscEcsj4hNgJrB5oQ/bHvTqWwtA/8Gr2efw5Tz1+970GVD76fG9D1vOW7M2aul0awMRcOMlwxg6chVfOWvRp+V7fuEDnpzQB4AnJ/Rhr7FJ4F62uCP1SXzmvbe7MG9OFz4zbHWb9zsziklvFJnikHSHpIWSXsspu07SP3KyBL1zjl0qabakWZLGFmq/1LM4cv/urwd6F1m/nvx9E02uw6Yj35uBXSPiXUlXArmRpLm2VURfiulPu3H5bW/Tc9M66mvFTf81mI+Wd+I7P3uHz45eSQQsmNuFn313SLm7WdVmPN+dyQ/2YcQ2KznnkFEAnHrpfL523gLGnT2ciff1ZcDgZJodwPQpPfjNdZ+hYyfo2CG44Oq5bLJpfRk/Qfm14gj5TuAmksxAoyeASyOiTtI1wKXA9yRtCxxPMnDcDHhS0lYR0eKP0dZBZzmwVNJ+EfFX4CTg6QLnNOdx4GxJT6VfQh/WPAayRlIP4FjgwQLtPAOcCPxZ0lbAMGAWsPN69KlduOSYLdcqu+6CYWXoibVkuz1WMGn+K80eu2bCv9Yq2++Ly9nvi56N829aKUBHxDOShjcpezzn5RSSWARwFHBfRKwC5kiaDewOPNtS++UYFZ4M3CJpY+BN4NT1aOM2klTENEm1wK0RcZOkW0ny2m8BLxTRzs1pX6YDdcApEbEqvbZoZu1UkSPofpJezHk9PiLGr+Nb/Qdwf7o/mCRgN5qblrWoZAE6It4Ctst5fX3O4T2bqX9Azn4NeXLQae754nTLLf9v4L+LbTvNL5/STP07Sf50aXx9RNM6ZlahAqgvKkLXRMSu6/s2ki4jGfg1TmJobuSXtyNVkVc1M8tV6lkakk4mmUV2cMSnVxznArmzwYYAeeesZnoypKSxkl5psj1S7n6ZWYUr4Y0qkg4Fvgd8KSI+zjn0KHC8pK6SRpBMQ34+X1uZHkFHxCRgUrn7YWbtS2uNoCXdCxxAkq+eS3KPxaVAV+CJ9HrWlIg4OyJmSJpAMm23Djg33wwOyHiANjNrda243GhEnNBM8e156o8DxhXbvgO0mVUVASruImHZOUCbWdVRRhZDKsQB2syqi5+oYmaWVdlZTrQQB2gzqzpZWa2uEAdoM6s+HkGbmWVQeBaHmVl2VUZ8doA2s+rjaXZmZlnlAG1mlkHBmsd7ZJwDtJlVFRFOcZiZZVZDZQyhHaDNrLo4xWFmll1OcZiZZZUDtJlZFnmxJDOzbCr+qd5l5wBtZlXHOWgzs6xygDYzy6AAGhygzcwyyBcJzcyyywHazCyDAqivjFsJHaDNrMoEhAO0mVk2OcVhZpZBnsVhZpZhHkGbmWWUA7SZWQZFQH19uXtRFAdoM6s+FTKC7lDuDpiZtbmIwlsRJN0haaGk13LK+kh6QtIb6T83zTl2qaTZkmZJGluofQdoM6sykcziKLQV507g0CZl3wcmR8RIYHL6GknbAscDo9NzbpbUMV/jDtBmVl0CIhoKbkU1FfEMsKRJ8VHAXen+XcDROeX3RcSqiJgDzAZ2z9e+c9BmVn2Ku9W7n6QXc16Pj4jxRZw3MCLeA4iI9yQNSMsHA1Ny6s1Ny1rkAG1m1SUCGooK0DURsWsrvrOa602+E5ziMLPq00oXCVuwQNIggPSfC9PyucDQnHpDgPn5GnKANrOqEw0NBbcN8Chwcrp/MvCHnPLjJXWVNAIYCTyfryGnOMysyrTegv2S7gUOIMlXzwWuAK4GJkg6DXgHOA4gImZImgDMBOqAcyMi7x0zDtBmVl1acbGkiDihhUMHt1B/HDCu2PYdoM2sqgQQvtXbzCyDwgv2m5llVng9aDOzjKqQEbSiQlZ1yjpJi4C3y92PEukH1JS7E1a09vx7bR4R/TekAUkTSb6jQmoiouk6G23KAdoKkvRiK99RZSXk36v98I0qZmYZ5QBtZpZRDtBWjGJW8LLs8O/VTjgHbWaWUR5Bm5lllAO0mVlGOUCbmWWUA7SZWUY5QFcRSd+UNE3Sq5J+K+lISc9JmirpSUkD03pXpo+Tf0rSm5IuyGnjYkmvpdtFadlwSa9LulXSDEmPS+pWpo+ZWS19T5LGSJqS/jaPSNo0rf+UpGskPS/pn5L2y9N2R0nXS5qetnN+Wn65pBfS32u8JOVrW9JGkn6dtjNV0oFp+SmSHpY0UdIbkq4t/TdmRIS3KthIHvU+C+iXvu4DbMqamTynAzek+1cC/wd0JbkldjHQGdgFmA50B3oAM4CdgOEkC5CPSc+fAHyj3J85a1tL3xMwDfhcWvZD4H/S/adyfpPDgSfztH0O8BDQqfH3zf1nuv9b4Mh8bQOXAL9O97cmWXB+I+AU4E2gV/r6bWBoub/T9r55BF09DgIejIgagIhYQvJMtEmSpgPfIQnijR6L5PHwNSTPVBsI7As8EhErIuIj4GGgcVQ3JyJeSfdfIglGtram39Nngd4R8XRadhewf079h3PqDs/T7iHALRFRB5/+vgAHpn8lTSf5dyD3N26u7X1JAjkR8Q+SQLxVemxyRCyPiE9IngqyeaEPaxvGAbp6iLWfIPxz4KaI2B44i2Rk1GhVzn49ycqHzT2VOF99W1vT76l3kfULfadr/b6SNgJuBo5Nf+Nbaf43zm3bv3GGOEBXj8nAVyX1BZDUh+TP1Xnp8ZNbOjHHM8DRkjaW1B04BvhrKTpbRZYDS3PyyycBT+ep35LHgbMldYJPf9/GYFwjqQdwbBHtPAOcmLaxFTCMJDVmZeD/A1aJSB5YOQ54WlI9MJUk1/yApHnAFGBEgTZelnQna55EfFtETJU0vGQdrw4nA7dI2pgkz3vqerRxG0kqYpqkWuDWiLhJ0q0k1w3eAl4oop2b075MJ8mXnxIRq9Jri9bGfKu3mVlGOcVhZpZRTnGYVRBJY4FrmhTPiYhjytEfKy2nOMzMMsopDjOzjHKANjPLKAdoazOS6iW9kq4L8UA6rWx927pT0rHp/m2Sts1T9wBJe6/He7wlaa2nP7dU3qTOR+v4XldK+va69tHaNwdoa0srI2JMRGwHrAbOzj0oqeP6NBoRp0fEzDxVDgDWOUCblZsDtJXLX4Et09HtXyTdA0xPV2W7Ll2BbZqkswCUuEnSTEmPAQMaG0pXZts13T9U0stKVuybnN5Eczbwn+nofT9J/SU9lL7HC5L2Sc/tm64wN1XSr8h/23Pje/9e0kvp6nRnNjl2Q9qXyZL6p2WfTVeEe0nSXyVt3SrfprVLnmZnbS69HfkwYGJatDuwXUTMSYPc8ojYTVJX4O+SHidZNW8UsD3Jwk0zgTuatNufZL2J/dO2+kTEEkm3AB9FxPVpvXuAn0TE3yQNAyYB2wBXAH+LiB9K+iLwbwG3Bf+Rvkc34AVJD0XEYpIV/16OiEskXZ62fR7JA13Pjog3JO1BcufeQevxNVoVcIC2ttRN0ivp/l+B20lSD89HxJy0/AvADo35ZZL1QkaSrPB2b0TUA/Ml/bmZ9vcEnmlsK2dFt6YOAbbNuX15E0k90/f4cnruY5KWFvGZLpDUOAd5aNrXxUADcH9a/jvg4XQ9jL1Jbq9vPL9rEe9hVcoB2trSyogYk1uQBqoVuUXA+RExqUm9w1l7Nb6mmluxrzkdgL0iYmUzfSn6xgBJB5AE+70i4mNJT/Hvq8XlivR9lzX9Dsxa4hy0Zc0k4BxJnSFZUS1dOe8Z4Pg0Rz0IOLCZc58FPidpRHpun7T8Q6BnTr3HSdINpPXGpLu5K7kdRvJAg3x6AUvT4Lw1yQi+UQfWrB73dZLUyQfAHEnHpe8hSTsWeA+rYg7QljW3keSXX5b0GvArkr/0HgHeIFmZ7Zc0syRnRCwiyRs/LOlV1qQY/ggc03iRELgA2DW9CDmTNbNJfgDsL+llklTLOwX6OhHoJGka8COSFQEbrQBGS3qJJMf8w7T8ROC0tH8zgKOK+E6sSvlWbzOzjPII2swsoxygzcwyygHazCyjHKDNzDLKAdrMLKMcoM3MMsoB2swso/4/kC6A0JGNJMMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pipe, res, all_bas = N_canonizer_sizeopti(df_doc2vec_novel, N_sample=10, ratio=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "6b016dcf",
   "metadata": {},
   "outputs": [],
   "source": [
    "# not better than bow !"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8fc2849d",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "54c8022d",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6877858815894049\n"
     ]
    },
    {
     "data": {
      "image/png": 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zK6U2PdqkVkR8K139jaQHSZ61Nqe03TIzK6G2HLwl7Z9vW0Q8V5oumZmVVls/8/55nm0BHNHEfcm0ihVr6X7rU4UrWqvxwNLnW7oLtp0q+jVRQ2055x0RY5uzI2ZmzSIjo0kKKeomHTOzNsXB28wse9QGHsbg4G1m5acNnHkX8yQdSfqGpJ+kr3eTNKr0XTMza3qK4pbWrpjb468DDgZqn5K8Bvh1yXpkZlZqbeAxaMWkTT4dEftLmg0QESsl7VTifpmZlU4GzqwLKSZ4b5RUQfp2JfWhTTx72czKVRbSIoUUkza5Grgb6CtpAsl0sP9Z0l6ZmZVKJKNNCi2tXTFzm9wq6VmSaWEFnBgRL5W8Z2ZmpdIGzryLeRjDbsCHwF9yyyJicSk7ZmZWMuUQvEmeFF/7IOKOwGBgATC8hP0yMyuZtpDzLiZtsm/u63S2wbMbqG5mZs1gu++wjIjnJB1Uis6YmTWLcjjzlvS9nJftgP2Bd0vWIzOzUopsjCYppJihgjvnLB1IcuAnlLJTZmYl1UQPIJb0XUnzJL0o6TZJHSX1kvSwpFfTnz1z6l8saaGkBZKO2ZG3kPfMO705p2tEXLgjBzEzay1E01ywlNQfGA8Mi4h1kiYD44BhwLSIuEzSRcBFwA8kDUu3Dwc+Djwiae+IqG7M8Rs885ZUmTba4OPQzMwyqYnOvElOgDtJqgQ6A0tJMhOT0u2TgBPT9ROA2yNiQ0QsAhYCjZ7kL9+Z90ySwP28pPuAO4G1tRsjYkpjD2pm1mKKnzWwt6RZOa8nRsTEzc1EvCXpSmAxsA6YGhFTJe0aEcvSOssk9U136Q/kPitxSVrWKMWMNukFvEfyzMra8d4BOHibWTYVd8GyKiIObGhjmss+geTel1XAnZK+kae9+qYqbHQCJ1/w7puONHmRLUF7hw9oZtbSmugmnSOBRRHxLoCkKcBngHck9UvPuvsBy9P6S4CBOfsPIEmzNEq+0SYVQNd02TlnvXYxM8umpsl5LwZGS+osSSTzP70E3AecltY5Dbg3Xb8PGCepg6TBwBCS9HSj5DvzXhYRP21sw2ZmrVITPT0+Ip6WdBfwHLAJmA1MJDm5nSzpTJIAf3Jaf146ImV+Wv+8xo40gfzBu/U/SsLMrBGaam6TiLgEuKRO8QaSs/D66k8AJjTFsfMF73oPbmaWeW3gql2DwTsiVjRnR8zMmktbuD1+uyemMjPLtCbKebc0B28zKyuibVzQc/A2s/LjM28zs+wpiyfpmJm1OQ7eZmYZ00YexuDgbWblx2feZmbZ45y3mVkWOXibmWWPz7zNzLImKPZhDK2ag7eZlZWmegBxS3PwNrPy4+BtZpY9iuxHbwdvMysvnlXQzCybnPM2M8sg3x5vZpZFPvM2M8uYcNrEzCybHLzNzLLFN+mYmWWUarIfvR28zay8eJy3tQXtO9Tw8ykLab9TUFEZPHF/D2658mN844K3+fzX32P1iuSfyB/+qx/PTO8GwOBPrGP85UvosnM1NTXi/C8MYeOGdi35Ntq8n393IE8/0o0evTcx8dEFW2278/o+3Piz/kyeO5fuu1Tz8uzO/OrCgUASo755wdt89vOr+fCDdlxw4pDN+1Uta88RX17JuT99qznfSqvgoYKWeRs3iO+fvCfrP6ygojK46p6FPDN9ZwDuvqEPd/2m71b121UE379mMVeM343X5ndi556bqN6oluh6WTn6qys4/owqrvj2bluVL3+rPbMf35m+/T/aXDZo6DqufXABFZXw3juVnHvkUEYftZrOXWu4/pEtgf+8Y/bmkC+saq630Lq0gTNvny6VPbH+wwoAKtsHFe2DfNM+HHD4Gha91JHX5ncCYM3KSmpqHLxLbd/Ra9m5Z/U25b+9tD9n/ngpyvkKOnYOKtLTso0b2m21rdZbr+3EqqpKRnx6bYl63LopCi+tnYO30a5dcN3DC7hjzjxmP96VBbO7AHDcGVVc/8gCvnfVYrp23wTAgD02ECEm/OnvXPvQK5z8reUt2fWy9uRD3ej9sY3sOXz9Nttefq4z/zJmKGcfMZTxly/ZHMxrPXpPTw4/flW9gb3NCyCi8NLKlSx4Sxok6SVJN0iaJ2mqpE6SRkp6StIcSXdL6pnWnyHpckkzJb0i6dA8bVdIulLS3LSd89Pyn0h6RtKLkiZKyT/NhtqW1FHSH9J2Zksam5afLmmKpAclvSrpvxvox1mSZkmatZENTf0RNpuaGvGto4ZyygHDGDryQ3Yfuo7/mbQLZxz8Cb511N6seKc9Z12yFICKymDEqLVc/q+7c8GJe/GZY1cz8pA1LfwOys/6D8VtV+/KqRcuq3f7Pvt/yA0zFnDNA69w+zV9+Wj91lH6sXt7MvZLK5ujq62SagovrV2pz7yHAL+OiOHAKuDLwM3ADyLik8Bc4JKc+pURMQr4Tp3yus4CBgOfStu5NS2/NiIOiogRQCfgiwXaPg8gIvYFvgZMktQx3TYS+CqwL/BVSQPrdiIiJkbEgRFxYHs6FPgoWr+171fwwpNdOWjsGlZVtaemRkSIB27dhaEj1wHw7rL2zHmyC++vqGTDunY8M70be+27roV7Xn6WvdGBtxfvxLlH7sOpo4bx7rL2nHfMUFYs3/oUe7chG+jYuYbXF3TcXPb3eR2proYhnyzP7612nLfTJvktiojn0/VngT2BHhHxWFo2CTgsp/6UnLqD8rR7JPCbiNgEEBEr0vKxkp6WNBc4AhheoO1DgFvSNl4G3gD2TrdNi4jVEbEemA/sXujNZlH3Xpvo0i3Jpe7UsYb9D/2ANxd2pFffjZvrfObzqzf/5392xs4MHraeDp1qaFcRfPLgD1j8Ssd627bSGfyJ9UyeO4+bZ87n5pnz6dNvI79+aAG9+m7i7cU7UZ1kuXhnSXuW/L0juw7YckFzxj09GXPCqpbpeGtQTMokA2mTUo82yc0lVAM9iqxfTf6+iTrXi9Mz5uuAAyPiTUmXArlRpb6282X86va9TY7M6bXrRv7tV4tp1w7atYPH/9Kdpx/pxoVXL2bP4euIgHeW7MTV3x8AwAerK5ny2z5c87+vECFmTt+ZmdO6tfC7aPv+69zdmfNkV1avqOSUA4bxzQve5tivr6i37oszu3DHtYOprEyuZ5z/n0vovsuWi52P/6UHP7vltebqeqvUVGfWknoANwIjSGLSPwELgDtIThJfB74SESvT+hcDZ5LElPER8VBjj93cAWk1sFLSoRHxBPBN4LEC+9RnKnCOpBkRsUlSL7Y8UrRKUlfgJOCuAu08DpwCTJe0N7AbyQe/fyP6lEmLXurEeUcP3ab8ivG71VM7MX1KT6ZP6VnKblkdF1//Rt7tN8+cv3n9yJNWcuRJDeezJz31UpP1K7Oa7sT6V8CDEXGSpJ2AzsAPSf5yv0zSRcBFwA8kDQPGkWQEPg48ImnviNh2GFERWmK0yWnAFZLmkOSVf9qINm4EFgNzJL0AfD0iVgE3kOTR7wGeKaKd64CKNM1yB3B6RGT3yqOZFaUpct6SupGkfX8HEBEfpXHoBJKUMOnPE9P1E4DbI2JDRCwCFgKjGvseSnbmHRGvk/wpUfv6ypzNo+upPyZnvYo8Oe801/29dMkt/zHw42LbTvPZp9dT/ybgppzXX6xbx8wyKoDqok69e0ualfN6YkRMzHm9B/Au8AdJ+5FcT/s2sGtELAOIiGWSau906w88lbP/krSsUdpkHtfMLJ8ic95VEXFgnu2VJCnW8yPiaUm/IkmRNHjYesoancBp1TfpSDpG0vN1lrtbul9mlnFNM9pkCbAkIp5OX99FEszfkdQPIP25PKd+7pDjAcDSxr6FVn3mnV6JbfTVWDOz+jTFaJOIeFvSm5KGRsQC4HMkw4rnk1zbuyz9eW+6y33AnyRdRXLBcggws7HHb9XB28ysyTXtlLDnA7emI01eA84gyWhMlnQmycCKkwEiYp6kySTBfRNwXmNHmoCDt5mVGQEq7oJlQelNiPXlxT/XQP0JwISmOLaDt5mVHWXgDspCHLzNrLz4STpmZlmUjblLCnHwNrOyk4VZAwtx8Daz8uMzbzOzjImmG23Skhy8zaz8ZD92O3ibWfnxUEEzsyxy8DYzy5hgy6NbMszB28zKiginTczMMqkm+6feDt5mVl6cNjEzyyanTczMssjB28wsazwxlZlZ9hT/9PhWzcHbzMqOc95mZlnk4G1mljEB1Dh4m5lljC9Ympllk4O3mVnGBFCd/VssHbzNrMwEhIO3mVn2OG1iZpYxHm1iZpZRPvM2M8sgB28zs4yJgOrqlu7FDnPwNrPy4zNvM7MMagPBu11Ld8DMrHlFMtqk0FIkSRWSZkv6n/R1L0kPS3o1/dkzp+7FkhZKWiDpmB15Fw7eZlZeAiJqCi7b4dvASzmvLwKmRcQQYFr6GknDgHHAcOBY4DpJFY19Gw7eZlZ+qmsKL0WQNAD4B+DGnOITgEnp+iTgxJzy2yNiQ0QsAhYCoxr7Fhy8zay8REBNTeEFekualbOcVU9rvwS+z9bPo981IpYlh4plQN+0vD/wZk69JWlZo/iCpZmVn+IuWFZFxIENbZT0RWB5RDwraUwR7am+nhTTkfo4eJtZ2YmaJpmY6rPA8ZK+AHQEukn6I/COpH4RsUxSP2B5Wn8JMDBn/wHA0sYe3GkTMysz6cMYCi2FWom4OCIGRMQgkguR0yPiG8B9wGlptdOAe9P1+4BxkjpIGgwMAWY29l34zNvMykvpJ6a6DJgs6UxgMXAyQETMkzQZmA9sAs6LiEbf6ungbWZlJYBo4tvjI2IGMCNdfw/4XAP1JgATmuKYDt5mVl7CD2MwM8uk8HzeZmYZ1AbOvBVtYIKW1kDSu8AbLd2PEukNVLV0J6xobfn72j0i+uxIA5IeJPmMCqmKiGN35Fil5OBtBUmale9mBWtd/H2VB4/zNjPLIAdvM7MMcvC2Ykxs6Q7YdvH3VQac8zYzyyCfeZuZZZCDt5lZBjl4m5llkIO3mVkGOXiXEUmnSpoj6QVJt0g6TtLT6ZOvH5G0a1rvUkm/lzRD0muSxue08T1JL6bLd9KyQZJeknSDpHmSpkrq1EJvs9Vq6HOSNFLSU+l3c3ft08bTz/9ySTMlvSLp0DxtV0i6UtLctJ3z0/KfSHom/b4mSlK+tiV1lPSHtJ3Zksam5adLmiLpwfSp6P9d+k/M8ooIL2WwkDyxegHQO33dC+jJlhFH/wz8PF2/FPgb0IHkNuL3gPbAAcBcoAvQFZgHfAoYRDI/8ch0/8nAN1r6Pbe2paHPCZgDHJ6W/RT4Zbo+I+c7+QLwSJ62zwX+DFTWfr+5P9P1W4Dj8rUNXAD8IV3fh2Q+6o7A6cBrQPf09RvAwJb+TMt58Zl3+TgCuCsiqgAiYgXJY5gekjQXuJAkwNe6P5KnXFeRPMZpV+AQ4O6IWBsRHwBTgNqzwUUR8Xy6/ixJoLJt1f2c9gR6RMRjadkk4LCc+lNy6g7K0+6RwG8iYhNs/n4BxqZ/Xc0l+TeQ+x3X1/YhJEGeiHiZJEjvnW6bFhGrI2I9yQMFdi/0Zq10HLzLh9j2YafXANdGxL7A2SRnVLU25KxXk8xAWd8DVPPVt23V/Zx6FFm/0Ge6zfcrqSNwHXBS+h3fQP3fcW7b/o4zwsG7fEwDviJpFwBJvUj+BH4r3X5aQzvmeBw4UVJnSV2ALwFPlKKzZWQ1sDInn/1N4LE89RsyFThHUiVs/n5rA3WVpK7ASUW08zhwStrG3sBuJOk2a2X8m7NMRPL8vAnAY5Kqgdkkue07Jb0FPAUMLtDGc5JuYstDU2+MiNmSBpWs4+XhNOA3kjqT5JXPaEQbN5KkN+ZI2gjcEBHXSrqB5DrF68AzRbRzXdqXuST5+dMjYkN6ndNaEd8eb2aWQU6bmJllkNMmZhki6Rjg8jrFiyLiSy3RH2s5TpuYmWWQ0yZmZhnk4G1mlkEO3tZsJFVLej6dZ+POdGhcY9u6SdJJ6fqNkoblqTtG0mcacYzXJW3zlPGGyuvU+WA7j3WppH/b3j5a+XLwtua0LiJGRsQI4CPgnNyNkioa02hE/HNEzM9TZQyw3cHbrDVz8LaW8gSwV3pW/KikPwFz09nxrkhnwpsj6WwAJa6VNF/S/UDf2obSGfIOTNePlfSckpkTp6U3EJ0DfDc96z9UUh9Jf06P8Yykz6b77pLO9Ddb0m/Jf6t47bHvkfRsOkvgWXW2/TztyzRJfdKyPdOZ+Z6V9ISkfZrk07Sy46GC1uzSW7g/DzyYFo0CRkTEojQAro6IgyR1AP6/pKkksxcOBfYlmSRrPvD7Ou32IZm/47C0rV4RsULSb4APIuLKtN6fgF9ExF8l7QY8BHwCuAT4a0T8VNI/AFsF4wb8U3qMTsAzkv4cEe+RzLz4XERcIOknadv/SvJw4HMi4lVJnya5o/GIRnyMVuYcvK05dZL0fLr+BPA7knTGzIhYlJYfDXyyNp9NMv/KEJKZ9m6LiGpgqaTp9bQ/Gni8tq2cmfXqOhIYlnPLdzdJO6fH+Md03/slrSziPY2XVDvGemDa1/eAGuCOtPyPwJR0fpHPkExJULt/hyKOYbYNB29rTusiYmRuQRrE1uYWAedHxEN16n2BbWdFrKu+mRPr0w44OCLW1dOXom98kDSG5BfBwRHxoaQZbD1rX65Ij7uq7mdg1hjOeVtr8xBwrqT2kMxsl85g+DgwLs2J9wPG1rPvk8Dhkgan+/ZKy9cAO+fUm0qSwiCtNzJdzZ1R7/MkD6vIpzuwMg3c+5Cc+ddqx5ZZ/L5Oko55H1gk6eT0GJK0X4FjmNXLwdtamxtJ8tnPSXoR+C3JX4h3A6+SzJB3PfVMmxoR75LkqadIeoEtaYu/AF+qvWAJjAcOTC+IzmfLqJd/Bw6T9BxJ+mZxgb4+CFRKmgP8jGRmxlprgeGSniXJaf80LT8FODPt3zzghCI+E7Nt+PZ4M7MM8pm3mVkGOXibmWWQg7eZWQY5eJuZZZCDt5lZBjl4m5llkIO3mVkG/R+i6fHglDXdPAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pipe, df_scores, bas = GKF_canonized(df_doc2vec_author)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b0cc7156",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "1ffd73b0",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_main = pd.read_csv(r'data_doc2vec/spacy_vectors_trained.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "20b0f995",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_main.set_index(\"Unnamed: 0\", inplace = True)\n",
    "df_main = df_main.replace(np.nan, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "f372493b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "714\n"
     ]
    }
   ],
   "source": [
    "df_main_author = get_df_with_authors(df_main)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a5b2bb1b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "59d0b30c",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_doc2vec_novel = get_canon_list(df_main_author, df_canon_NOVEL_SCALE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "960c3edf",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_doc2vec_author = get_canon_list(df_main_author, df_canon_AUTEUR_SCALE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c502703b",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "7d6b9792",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ca8dd587419b4c0596e5fb0d7ded21a1",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/10 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6466666666666667\n",
      "0.6483333333333333\n",
      "0.6950000000000001\n",
      "0.66\n",
      "0.67\n",
      "0.6333333333333333\n",
      "0.6966666666666667\n",
      "0.6516666666666666\n",
      "0.6733333333333333\n",
      "0.655\n",
      "0.663\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pipe, res, all_bas = N_canonizer_sizeopti(df_doc2vec_novel, N_sample=10, ratio=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "cab51b44",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6ef8ad5c",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "e2453b4d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.6938950436119519\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pipe, df_scores, bas = GKF_canonized(df_doc2vec_author)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "7e64ded8",
   "metadata": {},
   "outputs": [],
   "source": [
    "test = df_unibi_gram_author[df_unibi_gram_author.index == '1972_Simenon-Georges_Maigret-et-Monsieur-Charles']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "f9e73821",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
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       "      <th>le</th>\n",
       "      <th>de</th>\n",
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       "      <th>et</th>\n",
       "      <th>il</th>\n",
       "      <th>avoir</th>\n",
       "      <th>à</th>\n",
       "      <th>lui</th>\n",
       "      <th>être</th>\n",
       "      <th>son</th>\n",
       "      <th>...</th>\n",
       "      <th>faire_pour</th>\n",
       "      <th>le_vérité</th>\n",
       "      <th>mais_à</th>\n",
       "      <th>ça_ne</th>\n",
       "      <th>le_feu</th>\n",
       "      <th>avoir_je</th>\n",
       "      <th>j’_aller</th>\n",
       "      <th>le_nature</th>\n",
       "      <th>canon</th>\n",
       "      <th>auteur</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>index</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1972_Simenon-Georges_Maigret-et-Monsieur-Charles</th>\n",
       "      <td>0.051521</td>\n",
       "      <td>0.042843</td>\n",
       "      <td>0.032653</td>\n",
       "      <td>0.017382</td>\n",
       "      <td>0.028979</td>\n",
       "      <td>0.031324</td>\n",
       "      <td>0.017929</td>\n",
       "      <td>0.024522</td>\n",
       "      <td>0.017929</td>\n",
       "      <td>0.012222</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00013</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>0.000104</td>\n",
       "      <td>0.0</td>\n",
       "      <td>canon</td>\n",
       "      <td>Simenon-Georges</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>1 rows × 2002 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                        le        de  \\\n",
       "index                                                                  \n",
       "1972_Simenon-Georges_Maigret-et-Monsieur-Charles  0.051521  0.042843   \n",
       "\n",
       "                                                        un        et  \\\n",
       "index                                                                  \n",
       "1972_Simenon-Georges_Maigret-et-Monsieur-Charles  0.032653  0.017382   \n",
       "\n",
       "                                                        il     avoir  \\\n",
       "index                                                                  \n",
       "1972_Simenon-Georges_Maigret-et-Monsieur-Charles  0.028979  0.031324   \n",
       "\n",
       "                                                        à       lui  \\\n",
       "index                                                                  \n",
       "1972_Simenon-Georges_Maigret-et-Monsieur-Charles  0.017929  0.024522   \n",
       "\n",
       "                                                      être       son  ...  \\\n",
       "index                                                                 ...   \n",
       "1972_Simenon-Georges_Maigret-et-Monsieur-Charles  0.017929  0.012222  ...   \n",
       "\n",
       "                                                  faire_pour  le_vérité  \\\n",
       "index                                                                       \n",
       "1972_Simenon-Georges_Maigret-et-Monsieur-Charles    0.000026          0.0   \n",
       "\n",
       "                                                  mais_à  ça_ne  le_feu  \\\n",
       "index                                                                       \n",
       "1972_Simenon-Georges_Maigret-et-Monsieur-Charles  0.00013     0.0     0.0   \n",
       "\n",
       "                                                  avoir_je  j’_aller  \\\n",
       "index                                                                  \n",
       "1972_Simenon-Georges_Maigret-et-Monsieur-Charles  0.000026  0.000104   \n",
       "\n",
       "                                                  le_nature  canon  \\\n",
       "index                                                                \n",
       "1972_Simenon-Georges_Maigret-et-Monsieur-Charles        0.0  canon   \n",
       "\n",
       "                                                           auteur  \n",
       "index                                                              \n",
       "1972_Simenon-Georges_Maigret-et-Monsieur-Charles  Simenon-Georges  \n",
       "\n",
       "[1 rows x 2002 columns]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "cdc8419a",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th>...</th>\n",
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       "      <th>le_vérité</th>\n",
       "      <th>mais_à</th>\n",
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       "      <th>le_feu</th>\n",
       "      <th>avoir_je</th>\n",
       "      <th>j’_aller</th>\n",
       "      <th>le_nature</th>\n",
       "      <th>canon</th>\n",
       "      <th>auteur</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>index</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1970_Simenon-Georges_Maigret-et-le-marchand-de-vin</th>\n",
       "      <td>0.04971</td>\n",
       "      <td>0.044901</td>\n",
       "      <td>0.030825</td>\n",
       "      <td>0.017816</td>\n",
       "      <td>0.035749</td>\n",
       "      <td>0.03187</td>\n",
       "      <td>0.018746</td>\n",
       "      <td>0.015006</td>\n",
       "      <td>0.018258</td>\n",
       "      <td>0.011893</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000116</td>\n",
       "      <td>0.000093</td>\n",
       "      <td>0.000046</td>\n",
       "      <td>0.000023</td>\n",
       "      <td>0.000046</td>\n",
       "      <td>0.000046</td>\n",
       "      <td>0.000046</td>\n",
       "      <td>0.000023</td>\n",
       "      <td>canon</td>\n",
       "      <td>Simenon-Georges</td>\n",
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       "  </tbody>\n",
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       "<p>1 rows × 2002 columns</p>\n",
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       "                                                         le        de  \\\n",
       "index                                                                   \n",
       "1970_Simenon-Georges_Maigret-et-le-marchand-de-vin  0.04971  0.044901   \n",
       "\n",
       "                                                          un        et  \\\n",
       "index                                                                    \n",
       "1970_Simenon-Georges_Maigret-et-le-marchand-de-vin  0.030825  0.017816   \n",
       "\n",
       "                                                          il    avoir  \\\n",
       "index                                                                   \n",
       "1970_Simenon-Georges_Maigret-et-le-marchand-de-vin  0.035749  0.03187   \n",
       "\n",
       "                                                          à       lui  \\\n",
       "index                                                                    \n",
       "1970_Simenon-Georges_Maigret-et-le-marchand-de-vin  0.018746  0.015006   \n",
       "\n",
       "                                                        être       son  ...  \\\n",
       "index                                                                   ...   \n",
       "1970_Simenon-Georges_Maigret-et-le-marchand-de-vin  0.018258  0.011893  ...   \n",
       "\n",
       "                                                    faire_pour  le_vérité  \\\n",
       "index                                                                         \n",
       "1970_Simenon-Georges_Maigret-et-le-marchand-de-vin    0.000116     0.000093   \n",
       "\n",
       "                                                     mais_à    ça_ne  \\\n",
       "index                                                                    \n",
       "1970_Simenon-Georges_Maigret-et-le-marchand-de-vin  0.000046  0.000023   \n",
       "\n",
       "                                                      le_feu  avoir_je  \\\n",
       "index                                                                    \n",
       "1970_Simenon-Georges_Maigret-et-le-marchand-de-vin  0.000046  0.000046   \n",
       "\n",
       "                                                    j’_aller  le_nature  \\\n",
       "index                                                                     \n",
       "1970_Simenon-Georges_Maigret-et-le-marchand-de-vin  0.000046   0.000023   \n",
       "\n",
       "                                                    canon           auteur  \n",
       "index                                                                       \n",
       "1970_Simenon-Georges_Maigret-et-le-marchand-de-vin  canon  Simenon-Georges  \n",
       "\n",
       "[1 rows x 2002 columns]"
      ]
     },
     "execution_count": 16,
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    "test"
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       "                                                le        de        un  \\\n",
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       "\n",
       "                                                et        il     avoir  \\\n",
       "index                                                                    \n",
       "1970_Simenon-Georges_La-folle-de-Maigret  0.017638  0.027856  0.034182   \n",
       "\n",
       "                                                à       lui      être  \\\n",
       "index                                                                    \n",
       "1970_Simenon-Georges_La-folle-de-Maigret  0.018076  0.023063  0.019949   \n",
       "\n",
       "                                              son  ...  faire_pour  \\\n",
       "index                                              ...               \n",
       "1970_Simenon-Georges_La-folle-de-Maigret  0.00978  ...    0.000024   \n",
       "\n",
       "                                          le_vérité   mais_à  ça_ne  \\\n",
       "index                                                                     \n",
       "1970_Simenon-Georges_La-folle-de-Maigret     0.000024  0.000073     0.0   \n",
       "\n",
       "                                          le_feu  avoir_je  j’_aller  \\\n",
       "index                                                                  \n",
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       "\n",
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       "\n",
       "[1 rows x 2002 columns]"
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